2138552640 has 672 divisors, whose sum is σ = 8961997824. Its totient is φ = 457850880.

The previous prime is 2138552623. The next prime is 2138552671. The reversal of 2138552640 is 462558312.

2138552640 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 5 + 5 + 2 + 640 = 666.

2138552640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 2138552595 and 2138552604.

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 95 ways as a sum of consecutive naturals, for example, 35058210 + ... + 35058270.

Almost surely, 2^2138552640 is an apocalyptic number.

2138552640 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 2138552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480998912).

2138552640 is an abundant number, since it is smaller than the sum of its proper divisors (6823445184).

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

2138552640 is a wasteful number, since it uses less digits than its factorization.

2138552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2138552640 is about 46244.4876715052. The cubic root of 2138552640 is about 1288.3681547281.

The spelling of 2138552640 in words is "two billion, one hundred thirty-eight million, five hundred fifty-two thousand, six hundred forty".