2497645920 has 192 divisors, whose sum is σ = 9809081856. Its totient is φ = 518983680.

The previous prime is 2497645897. The next prime is 2497645921. The reversal of 2497645920 is 295467942.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2497645920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2497645921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172 + ... + 70748.

It is an arithmetic number, because the mean of its divisors is an integer number (51088968).

Almost surely, 2^2497645920 is an apocalyptic number.

2497645920 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 2497645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904540928).

2497645920 is an abundant number, since it is smaller than the sum of its proper divisors (7311435936).

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

2497645920 is a wasteful number, since it uses less digits than its factorization.

2497645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67613 (or 67605 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 2497645920 is about 49976.4536556967. The cubic root of 2497645920 is about 1356.7826774351.

The spelling of 2497645920 in words is "two billion, four hundred ninety-seven million, six hundred forty-five thousand, nine hundred twenty".