2508244992 has 288 divisors, whose sum is σ = 8049132000. Its totient is φ = 746127360.

The previous prime is 2508244951. The next prime is 2508245029. The reversal of 2508244992 is 2994428052.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18044859 + ... + 18044997.

It is an arithmetic number, because the mean of its divisors is an integer number (27948375).

Almost surely, 2^2508244992 is an apocalyptic number.

2508244992 is a gapful number since it is divisible by the number (22) 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 2508244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024566000).

2508244992 is an abundant number, since it is smaller than the sum of its proper divisors (5540887008).

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

2508244992 is a wasteful number, since it uses less digits than its factorization.

2508244992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2508244992 is about 50082.3820519751. The cubic root of 2508244992 is about 1358.6991945022.

The spelling of 2508244992 in words is "two billion, five hundred eight million, two hundred forty-four thousand, nine hundred ninety-two".