2653719264 has 216 divisors, whose sum is σ = 8967617568. Its totient is φ = 741888000.

The previous prime is 2653719253. The next prime is 2653719371. The reversal of 2653719264 is 4629173562.

2653719264 is a `hidden beast` number, since 26 + 537 + 1 + 92 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661264 + ... + 665264.

It is an arithmetic number, because the mean of its divisors is an integer number (41516748).

Almost surely, 2^2653719264 is an apocalyptic number.

2653719264 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 2653719264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483808784).

2653719264 is an abundant number, since it is smaller than the sum of its proper divisors (6313898304).

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

2653719264 is a wasteful number, since it uses less digits than its factorization.

2653719264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4060 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2653719264 is about 51514.2627240262. The cubic root of 2653719264 is about 1384.4745997256.

The spelling of 2653719264 in words is "two billion, six hundred fifty-three million, seven hundred nineteen thousand, two hundred sixty-four".