2570413608 has 384 divisors, whose sum is σ = 8865504000. Its totient is φ = 674956800.

The previous prime is 2570413607. The next prime is 2570413619. The reversal of 2570413608 is 8063140752.

2570413608 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 41 + 3 + 608 = 666.

It is a super-2 number, since 2×2570413608² = 13214052232383155328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2570413603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42137898 + ... + 42137958.

It is an arithmetic number, because the mean of its divisors is an integer number (23087250).

Almost surely, 2^2570413608 is an apocalyptic number.

2570413608 is a gapful number since it is divisible by the number (28) 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 2570413608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432752000).

2570413608 is an abundant number, since it is smaller than the sum of its proper divisors (6295090392).

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

2570413608 is a wasteful number, since it uses less digits than its factorization.

2570413608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2570413608 is about 50699.2466216215. The cubic root of 2570413608 is about 1369.8331457156.

The spelling of 2570413608 in words is "two billion, five hundred seventy million, four hundred thirteen thousand, six hundred eight".