2655379584 has 448 divisors, whose sum is σ = 9364824000. Its totient is φ = 739031040.

The previous prime is 2655379567. The next prime is 2655379591. The reversal of 2655379584 is 4859735562.

2655379584 is a `hidden beast` number, since 2 + 6 + 5 + 53 + 7 + 9 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2655379584.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13343517 + ... + 13343715.

It is an arithmetic number, because the mean of its divisors is an integer number (20903625).

Almost surely, 2^2655379584 is an apocalyptic number.

2655379584 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 2655379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682412000).

2655379584 is an abundant number, since it is smaller than the sum of its proper divisors (6709444416).

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

2655379584 is a wasteful number, since it uses less digits than its factorization.

2655379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 2655379584 is about 51530.3753527956. The cubic root of 2655379584 is about 1384.7632752802.

The spelling of 2655379584 in words is "two billion, six hundred fifty-five million, three hundred seventy-nine thousand, five hundred eighty-four".