2138594400 has 504 divisors, whose sum is σ = 8282360520. Its totient is φ = 537477120.

The previous prime is 2138594389. The next prime is 2138594429. The reversal of 2138594400 is 44958312.

2138594400 is a `hidden beast` number, since 21 + 3 + 8 + 594 + 40 + 0 = 666.

It is a super-2 number, since 2×2138594400² = 9147172015422720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11080704 + ... + 11080896.

It is an arithmetic number, because the mean of its divisors is an integer number (16433255).

Almost surely, 2^2138594400 is an apocalyptic number.

2138594400 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 2138594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141180260).

2138594400 is an abundant number, since it is smaller than the sum of its proper divisors (6143766120).

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

2138594400 is a wasteful number, since it uses less digits than its factorization.

2138594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2138594400 is about 46244.9391825743. The cubic root of 2138594400 is about 1288.3765407587.

The spelling of 2138594400 in words is "two billion, one hundred thirty-eight million, five hundred ninety-four thousand, four hundred".