2139715987200 has 972 divisors, whose sum is σ = 8442851018784. Its totient is φ = 516612096000.

The previous prime is 2139715987177. The next prime is 2139715987223. The reversal of 2139715987200 is 27895179312.

It is a happy number.

2139715987200 is a `hidden beast` number, since 2 + 1 + 397 + 159 + 87 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2139715987177) and next prime (2139715987223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2348754745 + ... + 2348755655.

Almost surely, 2^{2139715987200} is an apocalyptic number.

2139715987200 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 2139715987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221425509392).

2139715987200 is an abundant number, since it is smaller than the sum of its proper divisors (6303135031584).

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

2139715987200 is a wasteful number, since it uses less digits than its factorization.

2139715987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 2139715987200 in words is "two trillion, one hundred thirty-nine billion, seven hundred fifteen million, nine hundred eighty-seven thousand, two hundred".