2487649920 has 256 divisors, whose sum is σ = 9108910080. Its totient is φ = 565678080.

The previous prime is 2487649909. The next prime is 2487649961. The reversal of 2487649920 is 299467842.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641899 + ... + 3642581.

It is an arithmetic number, because the mean of its divisors is an integer number (35581680).

Almost surely, 2^2487649920 is an apocalyptic number.

2487649920 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 2487649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554455040).

2487649920 is an abundant number, since it is smaller than the sum of its proper divisors (6621260160).

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

2487649920 is a wasteful number, since it uses less digits than its factorization.

2487649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2487649920 is about 49876.3462976189. The cubic root of 2487649920 is about 1354.9702330484.

The spelling of 2487649920 in words is "two billion, four hundred eighty-seven million, six hundred forty-nine thousand, nine hundred twenty".