2742520101264 has 120 divisors (see below), whose sum is σ = 7821671490360. Its totient is φ = 896740356096.

The previous prime is 2742520101241. The next prime is 2742520101271. The reversal of 2742520101264 is 4621010252472.

2742520101264 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 520 + 1 + 0 + 126 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2337779840400 + 404740260864 = 1528980^2 + 636192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 39903922 + ... + 39972590.

It is an arithmetic number, because the mean of its divisors is an integer number (65180595753).

Almost surely, 2^{2742520101264} is an apocalyptic number.

2742520101264 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 2742520101264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910835745180).

2742520101264 is an abundant number, since it is smaller than the sum of its proper divisors (5079151389096).

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

2742520101264 is a wasteful number, since it uses less digits than its factorization.

2742520101264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73969 (or 73960 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2742520101264 in words is "two trillion, seven hundred forty-two billion, five hundred twenty million, one hundred one thousand, two hundred sixty-four".