2654958240 has 144 divisors (see below), whose sum is σ = 9883744416. Its totient is φ = 643622400.

The previous prime is 2654958233. The next prime is 2654958247. The reversal of 2654958240 is 428594562.

2654958240 is a `hidden beast` number, since 2 + 65 + 4 + 9 + 582 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2654958233) and next prime (2654958247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2654958240² = 14097606512287795200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2654958247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67966 + ... + 99645.

It is an arithmetic number, because the mean of its divisors is an integer number (68637114).

Almost surely, 2^2654958240 is an apocalyptic number.

2654958240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2654958240 is an abundant number, since it is smaller than the sum of its proper divisors (7228786176).

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

2654958240 is a wasteful number, since it uses less digits than its factorization.

2654958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167643 (or 167632 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2654958240 is about 51526.2868834928. The cubic root of 2654958240 is about 1384.6900286824.

The spelling of 2654958240 in words is "two billion, six hundred fifty-four million, nine hundred fifty-eight thousand, two hundred forty".