2657576460 has 192 divisors, whose sum is σ = 9475522560. Its totient is φ = 540430080.

The previous prime is 2657576437. The next prime is 2657576479. The reversal of 2657576460 is 646757562.

2657576460 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 2×2657576460² = 14125425281492263200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211021 + ... + 223259.

It is an arithmetic number, because the mean of its divisors is an integer number (49351680).

Almost surely, 2^2657576460 is an apocalyptic number.

2657576460 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 2657576460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280).

2657576460 is an abundant number, since it is smaller than the sum of its proper divisors (6817946100).

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

2657576460 is a wasteful number, since it uses less digits than its factorization.

2657576460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 2657576460 is about 51551.6872662767. The cubic root of 2657576460 is about 1385.1450555542.

The spelling of 2657576460 in words is "two billion, six hundred fifty-seven million, five hundred seventy-six thousand, four hundred sixty".