2653246944 has 144 divisors (see below), whose sum is σ = 7967166480. Its totient is φ = 835246080.

The previous prime is 2653246919. The next prime is 2653246969. The reversal of 2653246944 is 4496423562.

2653246944 is a `hidden beast` number, since 26 + 532 + 4 + 6 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2653246919) and next prime (2653246969).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2653246944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500174 + ... + 2501234.

It is an arithmetic number, because the mean of its divisors is an integer number (55327545).

Almost surely, 2^2653246944 is an apocalyptic number.

2653246944 is a gapful number since it is divisible by the number (24) 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 2653246944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983583240).

2653246944 is an abundant number, since it is smaller than the sum of its proper divisors (5313919536).

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

2653246944 is a wasteful number, since it uses less digits than its factorization.

2653246944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1542 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 2653246944 is about 51509.6781585752. The cubic root of 2653246944 is about 1384.3924566681.

The spelling of 2653246944 in words is "two billion, six hundred fifty-three million, two hundred forty-six thousand, nine hundred forty-four".