2718692064 has 432 divisors, whose sum is σ = 9368835840. Its totient is φ = 739238400.

The previous prime is 2718692063. The next prime is 2718692143. The reversal of 2718692064 is 4602968172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2718692063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57844489 + ... + 57844535.

It is an arithmetic number, because the mean of its divisors is an integer number (21687120).

Almost surely, 2^2718692064 is an apocalyptic number.

2718692064 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 2718692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684417920).

2718692064 is an abundant number, since it is smaller than the sum of its proper divisors (6650143776).

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

2718692064 is a wasteful number, since it uses less digits than its factorization.

2718692064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2718692064 is about 52141.0784698591. The cubic root of 2718692064 is about 1395.6826288711.

The spelling of 2718692064 in words is "two billion, seven hundred eighteen million, six hundred ninety-two thousand, sixty-four".