2491225968 has 320 divisors, whose sum is σ = 8776581120. Its totient is φ = 588902400.

The previous prime is 2491225943. The next prime is 2491225973. The reversal of 2491225968 is 8695221942.

2491225968 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947153 + ... + 1948431.

It is an arithmetic number, because the mean of its divisors is an integer number (27426816).

Almost surely, 2^2491225968 is an apocalyptic number.

2491225968 is a gapful number since it is divisible by the number (28) 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 2491225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388290560).

2491225968 is an abundant number, since it is smaller than the sum of its proper divisors (6285355152).

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

2491225968 is a wasteful number, since it uses less digits than its factorization.

2491225968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 2491225968 is about 49912.1825609740. The cubic root of 2491225968 is about 1355.6191880587.

The spelling of 2491225968 in words is "two billion, four hundred ninety-one million, two hundred twenty-five thousand, nine hundred sixty-eight".