2742470970624 has 2592 divisors, whose sum is σ = 11247522004992. Its totient is φ = 650347315200.

The previous prime is 2742470970563. The next prime is 2742470970653. The reversal of 2742470970624 is 4260790742472.

2742470970624 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 4 + 7 + 0 + 9 + 7 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2742470970624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37568095452 + ... + 37568095524.

Almost surely, 2^{2742470970624} is an apocalyptic number.

2742470970624 is a gapful number since it is divisible by the number (24) 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 2742470970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623761002496).

2742470970624 is an abundant number, since it is smaller than the sum of its proper divisors (8505051034368).

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

2742470970624 is a wasteful number, since it uses less digits than its factorization.

2742470970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 2742470970624 in words is "two trillion, seven hundred forty-two billion, four hundred seventy million, nine hundred seventy thousand, six hundred twenty-four".