2142037761952 has 48 divisors (see below), whose sum is σ = 4600810144224. Its totient is φ = 973590624000.

The previous prime is 2142037761943. The next prime is 2142037762021. The reversal of 2142037761952 is 2591677302412.

It is a junction number, because it is equal to n+sod(n) for n = 2142037761896 and 2142037761905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5493127 + ... + 5870137.

It is an arithmetic number, because the mean of its divisors is an integer number (95850211338).

Almost surely, 2^{2142037761952} is an apocalyptic number.

2142037761952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2142037761952 is an abundant number, since it is smaller than the sum of its proper divisors (2458772382272).

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

2142037761952 is a wasteful number, since it uses less digits than its factorization.

2142037761952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393173 (or 393165 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 2142037761952 in words is "two trillion, one hundred forty-two billion, thirty-seven million, seven hundred sixty-one thousand, nine hundred fifty-two".