2742413374620 has 72 divisors (see below), whose sum is σ = 8320317379920. Its totient is φ = 731163993600.

The previous prime is 2742413374543. The next prime is 2742413374637. The reversal of 2742413374620 is 264733142472.

2742413374620 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 4 + 13 + 3 + 7 + 4 + 620 = 666.

It is a super-2 number, since 2×2742413374620² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619206 + ... + 2422445.

It is an arithmetic number, because the mean of its divisors is an integer number (115559963610).

Almost surely, 2^{2742413374620} is an apocalyptic number.

2742413374620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742413374620 is an abundant number, since it is smaller than the sum of its proper divisors (5577904005300).

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

2742413374620 is a wasteful number, since it uses less digits than its factorization.

2742413374620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046675 (or 3046670 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 2742413374620 in words is "two trillion, seven hundred forty-two billion, four hundred thirteen million, three hundred seventy-four thousand, six hundred twenty".