2613847680 has 192 divisors, whose sum is σ = 9117337320. Its totient is φ = 689971200.

The previous prime is 2613847667. The next prime is 2613847697. The reversal of 2613847680 is 867483162.

2613847680 is a `hidden beast` number, since 261 + 384 + 7 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2518433856 + 95413824 = 50184^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579514 + ... + 584006.

Almost surely, 2^2613847680 is an apocalyptic number.

2613847680 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 2613847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558668660).

2613847680 is an abundant number, since it is smaller than the sum of its proper divisors (6503489640).

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

2613847680 is a wasteful number, since it uses less digits than its factorization.

2613847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2613847680 is about 51125.8024875894. The cubic root of 2613847680 is about 1377.5057655476.

The spelling of 2613847680 in words is "two billion, six hundred thirteen million, eight hundred forty-seven thousand, six hundred eighty".