2579948640 has 288 divisors, whose sum is σ = 9344776896. Its totient is φ = 646778880.

The previous prime is 2579948633. The next prime is 2579948737. The reversal of 2579948640 is 468499752.

2579948640 is a `hidden beast` number, since 2 + 579 + 9 + 4 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2579948640² = 13312269970075699200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2019682 + ... + 2020958.

It is an arithmetic number, because the mean of its divisors is an integer number (32447142).

Almost surely, 2^2579948640 is an apocalyptic number.

2579948640 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 2579948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672388448).

2579948640 is an abundant number, since it is smaller than the sum of its proper divisors (6764828256).

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

2579948640 is a wasteful number, since it uses less digits than its factorization.

2579948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2579948640 is about 50793.1948197788. The cubic root of 2579948640 is about 1371.5248689822.

The spelling of 2579948640 in words is "two billion, five hundred seventy-nine million, nine hundred forty-eight thousand, six hundred forty".