2038262400 has 384 divisors, whose sum is σ = 7710220800. Its totient is φ = 525312000.

The previous prime is 2038262399. The next prime is 2038262407. The reversal of 2038262400 is 42628302.

2038262400 is a `hidden beast` number, since 2 + 0 + 38 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2038262400² = 8309027222507520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2038262407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678020 + ... + 2678780.

It is an arithmetic number, because the mean of its divisors is an integer number (20078700).

Almost surely, 2^2038262400 is an apocalyptic number.

2038262400 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 2038262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855110400).

2038262400 is an abundant number, since it is smaller than the sum of its proper divisors (5671958400).

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

2038262400 is a wasteful number, since it uses less digits than its factorization.

2038262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2038262400 is about 45147.1195094438. The cubic root of 2038262400 is about 1267.9049509636.

The spelling of 2038262400 in words is "two billion, thirty-eight million, two hundred sixty-two thousand, four hundred".