2653461720 has 1024 divisors, whose sum is σ = 12096000000. Its totient is φ = 512096256.

The previous prime is 2653461719. The next prime is 2653461721. The reversal of 2653461720 is 271643562.

2653461720 is a `hidden beast` number, since 2 + 6 + 5 + 34 + 617 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2653461719) and next prime (2653461721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653461721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91498666 + ... + 91498694.

It is an arithmetic number, because the mean of its divisors is an integer number (11812500).

Almost surely, 2^2653461720 is an apocalyptic number.

2653461720 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 2653461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000000).

2653461720 is an abundant number, since it is smaller than the sum of its proper divisors (9442538280).

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

2653461720 is a wasteful number, since it uses less digits than its factorization.

2653461720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2653461720 is about 51511.7629284807. The cubic root of 2653461720 is about 1384.4298104285.

The spelling of 2653461720 in words is "two billion, six hundred fifty-three million, four hundred sixty-one thousand, seven hundred twenty".