2562450597252 has 576 divisors, whose sum is σ = 8777438208000. Its totient is φ = 639005988096.

The previous prime is 2562450597221. The next prime is 2562450597257. The reversal of 2562450597252 is 2527950542652.

2562450597252 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 45 + 0 + 597 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2562450597257) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 809108173 + ... + 809111339.

It is an arithmetic number, because the mean of its divisors is an integer number (15238608000).

Almost surely, 2^{2562450597252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2562450597252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388719104000).

2562450597252 is an abundant number, since it is smaller than the sum of its proper divisors (6214987610748).

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

2562450597252 is a wasteful number, since it uses less digits than its factorization.

2562450597252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 2562450597252 in words is "two trillion, five hundred sixty-two billion, four hundred fifty million, five hundred ninety-seven thousand, two hundred fifty-two".