2613233040 has 320 divisors, whose sum is σ = 9379971072. Its totient is φ = 595814400.

The previous prime is 2613233017. The next prime is 2613233053. The reversal of 2613233040 is 403323162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2613233040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3027649 + ... + 3028511.

Almost surely, 2^2613233040 is an apocalyptic number.

2613233040 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 2613233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689985536).

2613233040 is an abundant number, since it is smaller than the sum of its proper divisors (6766738032).

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

2613233040 is a wasteful number, since it uses less digits than its factorization.

2613233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2613233040 is about 51119.7910793853. The cubic root of 2613233040 is about 1377.3977846933.

The spelling of 2613233040 in words is "two billion, six hundred thirteen million, two hundred thirty-three thousand, forty".