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2474083040 = 2551113711523
BaseRepresentation
bin1001001101110111…
…1000001011100000
320101102102102220012
42103131320023200
520031331124130
61045300104052
7115211234042
oct22335701340
96342372805
102474083040
11105a612230
12590695028
13305756a80
14196825a92
15e730b995
hex937782e0

2474083040 has 192 divisors, whose sum is σ = 6968166912. Its totient is φ = 818227200.

The previous prime is 2474083039. The next prime is 2474083091. The reversal of 2474083040 is 403804742.

It is a super-2 number, since 2×24740830402 = 12242173777631283200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2474082988 and 2474083006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623719 + ... + 1625241.

It is an arithmetic number, because the mean of its divisors is an integer number (36292536).

Almost surely, 22474083040 is an apocalyptic number.

2474083040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484083456).

2474083040 is an abundant number, since it is smaller than the sum of its proper divisors (4494083872).

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

2474083040 is a wasteful number, since it uses less digits than its factorization.

2474083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2474083040 is about 49740.1552068346. The cubic root of 2474083040 is about 1352.5025441759.

Adding to 2474083040 its reverse (403804742), we get a palindrome (2877887782).

The spelling of 2474083040 in words is "two billion, four hundred seventy-four million, eighty-three thousand, forty".