2497968000 has 768 divisors, whose sum is σ = 10425542400. Its totient is φ = 566784000.

The previous prime is 2497967999. The next prime is 2497968017. The reversal of 2497968000 is 8697942.

It is a happy number.

2497968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30095959 + ... + 30096041.

It is an arithmetic number, because the mean of its divisors is an integer number (13574925).

Almost surely, 2^2497968000 is an apocalyptic number.

2497968000 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 2497968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212771200).

2497968000 is an abundant number, since it is smaller than the sum of its proper divisors (7927574400).

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

2497968000 is a wasteful number, since it uses less digits than its factorization.

2497968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2497968000 is about 49979.6758692971. The cubic root of 2497968000 is about 1356.8409955202.

The spelling of 2497968000 in words is "two billion, four hundred ninety-seven million, nine hundred sixty-eight thousand".