2562410400 has 432 divisors, whose sum is σ = 9494954784. Its totient is φ = 595200000.

The previous prime is 2562410363. The next prime is 2562410423. The reversal of 2562410400 is 40142652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25370350 + ... + 25370450.

It is an arithmetic number, because the mean of its divisors is an integer number (21979062).

Almost surely, 2^2562410400 is an apocalyptic number.

2562410400 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 2562410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747477392).

2562410400 is an abundant number, since it is smaller than the sum of its proper divisors (6932544384).

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

2562410400 is a wasteful number, since it uses less digits than its factorization.

2562410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2562410400 is about 50620.2568148365. The cubic root of 2562410400 is about 1368.4099691202.

The spelling of 2562410400 in words is "two billion, five hundred sixty-two million, four hundred ten thousand, four hundred".