2570422400 has 432 divisors, whose sum is σ = 8080791390. Its totient is φ = 805109760.

The previous prime is 2570422399. The next prime is 2570422403. The reversal of 2570422400 is 42240752.

It can be written as a sum of positive squares in 9 ways, for example, as 69622336 + 2500800064 = 8344^2 + 50008^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2570422400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26499152 + ... + 26499248.

Almost surely, 2^2570422400 is an apocalyptic number.

2570422400 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 2570422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040395695).

2570422400 is an abundant number, since it is smaller than the sum of its proper divisors (5510368990).

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

2570422400 is a wasteful number, since it uses less digits than its factorization.

2570422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 2570422400 is about 50699.3333289502. Note that the first 4 decimals coincide. The cubic root of 2570422400 is about 1369.8347075342.

The spelling of 2570422400 in words is "two billion, five hundred seventy million, four hundred twenty-two thousand, four hundred".