2653961472 has 108 divisors (see below), whose sum is σ = 7708005760. Its totient is φ = 878183424.

The previous prime is 2653961461. The next prime is 2653961473. The reversal of 2653961472 is 2741693562.

2653961472 is a `hidden beast` number, since 26 + 5 + 3 + 9 + 614 + 7 + 2 = 666.

It is a super-2 number, since 2×2653961472² = 14087022989720813568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653961473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316113 + ... + 324399.

Almost surely, 2^2653961472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854002880).

2653961472 is an abundant number, since it is smaller than the sum of its proper divisors (5054044288).

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

2653961472 is a wasteful number, since it uses less digits than its factorization.

2653961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8448 (or 8431 counting only the distinct ones).

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

The square root of 2653961472 is about 51516.6135532995. The cubic root of 2653961472 is about 1384.5167193056.

The spelling of 2653961472 in words is "two billion, six hundred fifty-three million, nine hundred sixty-one thousand, four hundred seventy-two".