2138556784 has 240 divisors, whose sum is σ = 5482336608. Its totient is φ = 800077824.

The previous prime is 2138556779. The next prime is 2138556841. The reversal of 2138556784 is 4876558312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19986459 + ... + 19986565.

Almost surely, 2^2138556784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138556784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741168304).

2138556784 is an abundant number, since it is smaller than the sum of its proper divisors (3343779824).

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

2138556784 is a wasteful number, since it uses less digits than its factorization.

2138556784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 49.

The square root of 2138556784 is about 46244.5324768237. The cubic root of 2138556784 is about 1288.3689869099.

The spelling of 2138556784 in words is "two billion, one hundred thirty-eight million, five hundred fifty-six thousand, seven hundred eighty-four".