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2474880 = 27351289
BaseRepresentation
bin1001011100001110000000
311122201220020
421130032000
51113144010
6125013440
730015252
oct11341600
94581806
102474880
111440461
129b4280
13688635
14485cd2
1533d470
hex25c380

2474880 has 64 divisors (see below), whose sum is σ = 7894800. Its totient is φ = 659456.

The previous prime is 2474863. The next prime is 2474881. The reversal of 2474880 is 884742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×24748802 = 12250062028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1276 + ... + 2564.

22474880 is an apocalyptic number.

2474880 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 2474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947400).

2474880 is an abundant number, since it is smaller than the sum of its proper divisors (5419920).

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

2474880 is a wasteful number, since it uses less digits than its factorization.

2474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2474880 is about 1573.1751332894. The cubic root of 2474880 is about 135.2647752817.

The spelling of 2474880 in words is "two million, four hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1289 1920 2578 3867 5156 6445 7734 10312 12890 15468 19335 20624 25780 30936 38670 41248 51560 61872 77340 82496 103120 123744 154680 164992 206240 247488 309360 412480 494976 618720 824960 1237440 2474880