2654023680 has 936 divisors, whose sum is σ = 12236174496. Its totient is φ = 519045120.

The previous prime is 2654023657. The next prime is 2654023681. The reversal of 2654023680 is 863204562.

2654023680 is a `hidden beast` number, since 2 + 6 + 540 + 2 + 36 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2654023681) 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, 156119032 + ... + 156119048.

It is an arithmetic number, because the mean of its divisors is an integer number (13072836).

Almost surely, 2^2654023680 is an apocalyptic number.

2654023680 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 2654023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118087248).

2654023680 is an abundant number, since it is smaller than the sum of its proper divisors (9582150816).

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

2654023680 is a wasteful number, since it uses less digits than its factorization.

2654023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2654023680 is about 51517.2173161556. The cubic root of 2654023680 is about 1384.5275367627.

The spelling of 2654023680 in words is "two billion, six hundred fifty-four million, twenty-three thousand, six hundred eighty".