2653967500 has 120 divisors (see below), whose sum is σ = 6219259200. Its totient is φ = 987624000.

The previous prime is 2653967497. The next prime is 2653967531. The reversal of 2653967500 is 57693562.

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 39 ways as a sum of consecutive naturals, for example, 2802027 + ... + 2802973.

It is an arithmetic number, because the mean of its divisors is an integer number (51827160).

Almost surely, 2^2653967500 is an apocalyptic number.

2653967500 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 2653967500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109629600).

2653967500 is an abundant number, since it is smaller than the sum of its proper divisors (3565291700).

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

2653967500 is a wasteful number, since it uses less digits than its factorization.

2653967500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The square root of 2653967500 is about 51516.6720586647. The cubic root of 2653967500 is about 1384.5177675324.

The spelling of 2653967500 in words is "two billion, six hundred fifty-three million, nine hundred sixty-seven thousand, five hundred".