2042753457120 has 96 divisors (see below), whose sum is σ = 6436809348480. Its totient is φ = 544553433600.

The previous prime is 2042753457119. The next prime is 2042753457149. The reversal of 2042753457120 is 217543572402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744295 + ... + 2153945.

It is an arithmetic number, because the mean of its divisors is an integer number (67050097380).

Almost surely, 2^{2042753457120} is an apocalyptic number.

2042753457120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042753457120 is an abundant number, since it is smaller than the sum of its proper divisors (4394055891360).

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

2042753457120 is a wasteful number, since it uses less digits than its factorization.

2042753457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412688 (or 1412680 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 2042753457120 in words is "two trillion, forty-two billion, seven hundred fifty-three million, four hundred fifty-seven thousand, one hundred twenty".