2442938400 has 576 divisors, whose sum is σ = 10259343360. Its totient is φ = 549504000.

The previous prime is 2442938387. The next prime is 2442938413. The reversal of 2442938400 is 48392442.

2442938400 is a `hidden beast` number, since 244 + 2 + 9 + 3 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2442938387) and next prime (2442938413).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16178325 + ... + 16178475.

It is an arithmetic number, because the mean of its divisors is an integer number (17811360).

Almost surely, 2^2442938400 is an apocalyptic number.

2442938400 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 2442938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

2442938400 is an abundant number, since it is smaller than the sum of its proper divisors (7816404960).

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

2442938400 is a wasteful number, since it uses less digits than its factorization.

2442938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2442938400 is about 49426.0902762903. The cubic root of 2442938400 is about 1346.8033006264.

The spelling of 2442938400 in words is "two billion, four hundred forty-two million, nine hundred thirty-eight thousand, four hundred".