2139782400 has 864 divisors, whose sum is σ = 9428563200. Its totient is φ = 464486400.

The previous prime is 2139782389. The next prime is 2139782423. The reversal of 2139782400 is 42879312.

2139782400 is a `hidden beast` number, since 21 + 397 + 8 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35078370 + ... + 35078430.

Almost surely, 2^2139782400 is an apocalyptic number.

2139782400 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 2139782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714281600).

2139782400 is an abundant number, since it is smaller than the sum of its proper divisors (7288780800).

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

2139782400 is a wasteful number, since it uses less digits than its factorization.

2139782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2139782400 is about 46257.7820479971. The cubic root of 2139782400 is about 1288.6150631578.

The spelling of 2139782400 in words is "two billion, one hundred thirty-nine million, seven hundred eighty-two thousand, four hundred".