2497612320 has 1008 divisors, whose sum is σ = 11303893440. Its totient is φ = 517321728.

The previous prime is 2497612319. The next prime is 2497612331. The reversal of 2497612320 is 232167942.

2497612320 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 612 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 108591829 + ... + 108591851.

It is an arithmetic number, because the mean of its divisors is an integer number (11214180).

Almost surely, 2^2497612320 is an apocalyptic number.

2497612320 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 2497612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651946720).

2497612320 is an abundant number, since it is smaller than the sum of its proper divisors (8806281120).

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

2497612320 is a wasteful number, since it uses less digits than its factorization.

2497612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2497612320 is about 49976.1174962602. The cubic root of 2497612320 is about 1356.7765932924.

The spelling of 2497612320 in words is "two billion, four hundred ninety-seven million, six hundred twelve thousand, three hundred twenty".