2142075224016 has 1600 divisors, whose sum is σ = 8493656371200. Its totient is φ = 505103081472.

The previous prime is 2142075223877. The next prime is 2142075224027. The reversal of 2142075224016 is 6104225702412.

2142075224016 is a `hidden beast` number, since 2 + 1 + 420 + 7 + 5 + 224 + 0 + 1 + 6 = 666.

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 319 ways as a sum of consecutive naturals, for example, 4586884615 + ... + 4586885081.

It is an arithmetic number, because the mean of its divisors is an integer number (5308535232).

Almost surely, 2^{2142075224016} is an apocalyptic number.

2142075224016 is a gapful number since it is divisible by the number (26) 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 2142075224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246828185600).

2142075224016 is an abundant number, since it is smaller than the sum of its proper divisors (6351581147184).

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

2142075224016 is a wasteful number, since it uses less digits than its factorization.

2142075224016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2142075224016 in words is "two trillion, one hundred forty-two billion, seventy-five million, two hundred twenty-four thousand, sixteen".