2653713920 has 240 divisors, whose sum is σ = 7543110960. Its totient is φ = 889405440.

The previous prime is 2653713899. The next prime is 2653713929. The reversal of 2653713920 is 293173562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653713929) by changing a digit.

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, 4026551 + ... + 4027209.

It is an arithmetic number, because the mean of its divisors is an integer number (31429629).

Almost surely, 2^2653713920 is an apocalyptic number.

2653713920 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 2653713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771555480).

2653713920 is an abundant number, since it is smaller than the sum of its proper divisors (4889397040).

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

2653713920 is a wasteful number, since it uses less digits than its factorization.

2653713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 2653713920 is about 51514.2108548699. The cubic root of 2653713920 is about 1384.4736703838.

The spelling of 2653713920 in words is "two billion, six hundred fifty-three million, seven hundred thirteen thousand, nine hundred twenty".