2654516484 has 81 divisors (see below), whose sum is σ = 6958583541. Its totient is φ = 853204320.

The previous prime is 2654516477. The next prime is 2654516507. The reversal of 2654516484 is 4846154562.

It is a happy number.

The square root of 2654516484 is 51522.

It is a perfect power (a square), and thus also a powerful number.

2654516484 is a `hidden beast` number, since 2 + 6 + 54 + 516 + 4 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 457532100 + 2196984384 = 21390^2 + 46872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9582954 + ... + 9583230.

Almost surely, 2^2654516484 is an apocalyptic number.

2654516484 is the 51522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654516484

2654516484 is an abundant number, since it is smaller than the sum of its proper divisors (4304067057).

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

2654516484 is a wasteful number, since it uses less digits than its factorization.

2654516484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The cubic root of 2654516484 is about 1384.6132253328.

The spelling of 2654516484 in words is "two billion, six hundred fifty-four million, five hundred sixteen thousand, four hundred eighty-four".