2142539370720 has 432 divisors, whose sum is σ = 8554327367040. Its totient is φ = 486889740288.

The previous prime is 2142539370667. The next prime is 2142539370739. The reversal of 2142539370720 is 270739352412.

2142539370720 is a `hidden beast` number, since 2 + 1 + 4 + 253 + 9 + 370 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 12119121 + ... + 12294639.

It is an arithmetic number, because the mean of its divisors is an integer number (19801683720).

Almost surely, 2^{2142539370720} is an apocalyptic number.

2142539370720 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 2142539370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277163683520).

2142539370720 is an abundant number, since it is smaller than the sum of its proper divisors (6411787996320).

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

2142539370720 is a wasteful number, since it uses less digits than its factorization.

2142539370720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175727 (or 175709 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2142539370720 in words is "two trillion, one hundred forty-two billion, five hundred thirty-nine million, three hundred seventy thousand, seven hundred twenty".