2138217900 has 432 divisors, whose sum is σ = 7912993536. Its totient is φ = 441745920.

The previous prime is 2138217869. The next prime is 2138217923. The reversal of 2138217900 is 97128312.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12803617 + ... + 12803783.

Almost surely, 2^2138217900 is an apocalyptic number.

2138217900 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 2138217900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956496768).

2138217900 is an abundant number, since it is smaller than the sum of its proper divisors (5774775636).

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

2138217900 is a wasteful number, since it uses less digits than its factorization.

2138217900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2138217900 is about 46240.8682876955. The cubic root of 2138217900 is about 1288.3009299999.

The spelling of 2138217900 in words is "two billion, one hundred thirty-eight million, two hundred seventeen thousand, nine hundred".