2138144400 has 1080 divisors, whose sum is σ = 9844084224. Its totient is φ = 425779200.

The previous prime is 2138144399. The next prime is 2138144467. The reversal of 2138144400 is 44418312.

2138144400 is a `hidden beast` number, since 213 + 8 + 1 + 4 + 440 + 0 = 666.

It is a super-2 number, since 2×2138144400² = 9143322950502720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68972385 + ... + 68972415.

Almost surely, 2^2138144400 is an apocalyptic number.

2138144400 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 2138144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922042112).

2138144400 is an abundant number, since it is smaller than the sum of its proper divisors (7705939824).

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

2138144400 is a wasteful number, since it uses less digits than its factorization.

2138144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2138144400 is about 46240.0735293533. The cubic root of 2138144400 is about 1288.2861682984.

The spelling of 2138144400 in words is "two billion, one hundred thirty-eight million, one hundred forty-four thousand, four hundred".