2142515303280 has 640 divisors, whose sum is σ = 8322667315200. Its totient is φ = 501898982400.

The previous prime is 2142515303237. The next prime is 2142515303317. The reversal of 2142515303280 is 823035152412.

2142515303280 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 515 + 30 + 32 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 617972107 + ... + 617975573.

It is an arithmetic number, because the mean of its divisors is an integer number (13004167680).

Almost surely, 2^{2142515303280} is an apocalyptic number.

2142515303280 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 2142515303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161333657600).

2142515303280 is an abundant number, since it is smaller than the sum of its proper divisors (6180152011920).

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

2142515303280 is a wasteful number, since it uses less digits than its factorization.

2142515303280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2142515303280 in words is "two trillion, one hundred forty-two billion, five hundred fifteen million, three hundred three thousand, two hundred eighty".