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2474067680 = 25572396043
BaseRepresentation
bin1001001101110111…
…0100011011100000
320101102101122211022
42103131310123200
520031330131210
61045255505012
7115211141210
oct22335643340
96342348738
102474067680
11105a601737
12590688168
1330574ca96
14196820240
15e7307155
hex937746e0

2474067680 has 96 divisors (see below), whose sum is σ = 6970489344. Its totient is φ = 811362816.

The previous prime is 2474067679. The next prime is 2474067683. The reversal of 2474067680 is 867604742.

2474067680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24740676802 = 12242021770441164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474067683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22262 + ... + 73781.

It is an arithmetic number, because the mean of its divisors is an integer number (72609264).

Almost surely, 22474067680 is an apocalyptic number.

2474067680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2474067680 is an abundant number, since it is smaller than the sum of its proper divisors (4496421664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2474067680 is a wasteful number, since it uses less digits than its factorization.

2474067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96088 (or 96080 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 2474067680 is about 49740.0008041817. Note that the first 3 decimals coincide. The cubic root of 2474067680 is about 1352.4997452288.

The spelling of 2474067680 in words is "two billion, four hundred seventy-four million, sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 96043 192086 384172 480215 672301 768344 960430 1344602 1536688 1920860 2208989 2689204 3073376 3361505 3841720 4417978 5378408 6723010 7683440 8835956 10756816 11044945 13446020 15366880 15462923 17671912 21513632 22089890 26892040 30925846 35343824 44179780 53784080 61851692 70687648 77314615 88359560 107568160 123703384 154629230 176719120 247406768 309258460 353438240 494813536 618516920 1237033840 2474067680