2497972995360 has 288 divisors, whose sum is σ = 8823999824640. Its totient is φ = 642738776064.

The previous prime is 2497972995313. The next prime is 2497972995367. The reversal of 2497972995360 is 635992797942.

2497972995360 is a `hidden beast` number, since 2 + 4 + 97 + 97 + 2 + 9 + 95 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2497972995367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67089709 + ... + 67126931.

It is an arithmetic number, because the mean of its divisors is an integer number (30638888280).

Almost surely, 2^{2497972995360} is an apocalyptic number.

2497972995360 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 2497972995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411999912320).

2497972995360 is an abundant number, since it is smaller than the sum of its proper divisors (6326026829280).

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

2497972995360 is a wasteful number, since it uses less digits than its factorization.

2497972995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38880 (or 38869 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 2497972995360 in words is "two trillion, four hundred ninety-seven billion, nine hundred seventy-two million, nine hundred ninety-five thousand, three hundred sixty".