2742716161920 has 128 divisors (see below), whose sum is σ = 9991323210240. Its totient is φ = 626906548224.

The previous prime is 2742716161909. The next prime is 2742716161921. The reversal of 2742716161920 is 291616172472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2742716161920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742716161921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102022132 + ... + 102049011.

It is an arithmetic number, because the mean of its divisors is an integer number (78057212580).

Almost surely, 2^{2742716161920} is an apocalyptic number.

2742716161920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742716161920 is an abundant number, since it is smaller than the sum of its proper divisors (7248607048320).

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

2742716161920 is a wasteful number, since it uses less digits than its factorization.

2742716161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204071172 (or 204071160 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 2742716161920 in words is "two trillion, seven hundred forty-two billion, seven hundred sixteen million, one hundred sixty-one thousand, nine hundred twenty".