2562480431280 has 2880 divisors, whose sum is σ = 12145828331520. Its totient is φ = 486752716800.

The previous prime is 2562480431257. The next prime is 2562480431311. The reversal of 2562480431280 is 821340842652.

2562480431280 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 480 + 43 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36091273645 + ... + 36091273715.

It is an arithmetic number, because the mean of its divisors is an integer number (4217301504).

Almost surely, 2^{2562480431280} is an apocalyptic number.

2562480431280 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 2562480431280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072914165760).

2562480431280 is an abundant number, since it is smaller than the sum of its proper divisors (9583347900240).

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

2562480431280 is a wasteful number, since it uses less digits than its factorization.

2562480431280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2562480431280 in words is "two trillion, five hundred sixty-two billion, four hundred eighty million, four hundred thirty-one thousand, two hundred eighty".