2042251542360 has 192 divisors, whose sum is σ = 6927376996800. Its totient is φ = 520810785792.

The previous prime is 2042251542313. The next prime is 2042251542371. The reversal of 2042251542360 is 632451522402.

2042251542360 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 51 + 542 + 3 + 60 = 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42941154 + ... + 42988686.

It is an arithmetic number, because the mean of its divisors is an integer number (36080088525).

Almost surely, 2^{2042251542360} is an apocalyptic number.

2042251542360 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 2042251542360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463688498400).

2042251542360 is an abundant number, since it is smaller than the sum of its proper divisors (4885125454440).

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

2042251542360 is a wasteful number, since it uses less digits than its factorization.

2042251542360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52762 (or 52755 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2042251542360 in words is "two trillion, forty-two billion, two hundred fifty-one million, five hundred forty-two thousand, three hundred sixty".