2438972640 has 384 divisors, whose sum is σ = 9289365120. Its totient is φ = 594100224.

The previous prime is 2438972611. The next prime is 2438972651. The reversal of 2438972640 is 462798342.

2438972640 is a `hidden beast` number, since 2 + 4 + 389 + 7 + 264 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 7693762 + ... + 7694078.

It is an arithmetic number, because the mean of its divisors is an integer number (24191055).

Almost surely, 2^2438972640 is an apocalyptic number.

2438972640 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 2438972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644682560).

2438972640 is an abundant number, since it is smaller than the sum of its proper divisors (6850392480).

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

2438972640 is a wasteful number, since it uses less digits than its factorization.

2438972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2438972640 is about 49385.9558984131. The cubic root of 2438972640 is about 1346.0741252699.

The spelling of 2438972640 in words is "two billion, four hundred thirty-eight million, nine hundred seventy-two thousand, six hundred forty".