2613373640 has 64 divisors (see below), whose sum is σ = 6083564400. Its totient is φ = 1009594368.

The previous prime is 2613373619. The next prime is 2613373649. The reversal of 2613373640 is 463733162.

2613373640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2000415076 + 612958564 = 44726^2 + 24758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2613373640.

It is not an unprimeable number, because it can be changed into a prime (2613373649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196316 + ... + 209204.

Almost surely, 2^2613373640 is an apocalyptic number.

2613373640 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 2613373640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041782200).

2613373640 is an abundant number, since it is smaller than the sum of its proper divisors (3470190760).

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

2613373640 is a wasteful number, since it uses less digits than its factorization.

2613373640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13074 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 2613373640 is about 51121.1662621267. The cubic root of 2613373640 is about 1377.4224870004.

The spelling of 2613373640 in words is "two billion, six hundred thirteen million, three hundred seventy-three thousand, six hundred forty".