2794340640 has 864 divisors, whose sum is σ = 11986470720. Its totient is φ = 543449088.

The previous prime is 2794340629. The next prime is 2794340671. The reversal of 2794340640 is 460434972.

It is a super-2 number, since 2×2794340640² = 15616679224711219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75522702 + ... + 75522738.

It is an arithmetic number, because the mean of its divisors is an integer number (13873230).

Almost surely, 2^2794340640 is an apocalyptic number.

2794340640 is a gapful number since it is divisible by the number (20) 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 2794340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993235360).

2794340640 is an abundant number, since it is smaller than the sum of its proper divisors (9192130080).

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

2794340640 is a wasteful number, since it uses less digits than its factorization.

2794340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2794340640 is about 52861.5232470651. The cubic root of 2794340640 is about 1408.5095059033.

The spelling of 2794340640 in words is "two billion, seven hundred ninety-four million, three hundred forty thousand, six hundred forty".