2654716000 has 192 divisors, whose sum is σ = 6843432960. Its totient is φ = 1010880000.

The previous prime is 2654715991. The next prime is 2654716013. The reversal of 2654716000 is 6174562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 9795865 + ... + 9796135.

It is an arithmetic number, because the mean of its divisors is an integer number (35642880).

Almost surely, 2^2654716000 is an apocalyptic number.

2654716000 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 2654716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421716480).

2654716000 is an abundant number, since it is smaller than the sum of its proper divisors (4188716960).

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

2654716000 is a wasteful number, since it uses less digits than its factorization.

2654716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2654716000 is about 51523.9361850393. The cubic root of 2654716000 is about 1384.6479140822.

The spelling of 2654716000 in words is "two billion, six hundred fifty-four million, seven hundred sixteen thousand".