2742461750072 has 128 divisors (see below), whose sum is σ = 6066577036800. Its totient is φ = 1148393164800.

The previous prime is 2742461750069. The next prime is 2742461750087. The reversal of 2742461750072 is 2700571642472.

It is a junction number, because it is equal to n+sod(n) for n = 2742461749999 and 2742461750026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14671148 + ... + 14856900.

It is an arithmetic number, because the mean of its divisors is an integer number (47395133100).

Almost surely, 2^{2742461750072} is an apocalyptic number.

2742461750072 is a gapful number since it is divisible by the number (22) 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 2742461750072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033288518400).

2742461750072 is an abundant number, since it is smaller than the sum of its proper divisors (3324115286728).

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

2742461750072 is a wasteful number, since it uses less digits than its factorization.

2742461750072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185997 (or 185993 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 47.

The spelling of 2742461750072 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-one million, seven hundred fifty thousand, seventy-two".