2740134765864 has 192 divisors, whose sum is σ = 7993053964800. Its totient is φ = 778995588096.

The previous prime is 2740134765757. The next prime is 2740134765869. The reversal of 2740134765864 is 4685674310472.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2740134765869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2579019 + ... + 3483045.

It is an arithmetic number, because the mean of its divisors is an integer number (41630489400).

Almost surely, 2^{2740134765864} is an apocalyptic number.

2740134765864 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 2740134765864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996526982400).

2740134765864 is an abundant number, since it is smaller than the sum of its proper divisors (5252919198936).

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

2740134765864 is a wasteful number, since it uses less digits than its factorization.

2740134765864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904112 (or 904091 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 2740134765864 in words is "two trillion, seven hundred forty billion, one hundred thirty-four million, seven hundred sixty-five thousand, eight hundred sixty-four".