2653441560 has 192 divisors, whose sum is σ = 10751719680. Its totient is φ = 551358720.

The previous prime is 2653441547. The next prime is 2653441573. The reversal of 2653441560 is 651443562.

2653441560 is a `hidden beast` number, since 2 + 6 + 53 + 4 + 41 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2653441547) and next prime (2653441573).

It is a super-2 number, since 2×2653441560² = 14081504224670467200, which contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20142 + ... + 75581.

It is an arithmetic number, because the mean of its divisors is an integer number (55998540).

Almost surely, 2^2653441560 is an apocalyptic number.

2653441560 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 2653441560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375859840).

2653441560 is an abundant number, since it is smaller than the sum of its proper divisors (8098278120).

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

2653441560 is a wasteful number, since it uses less digits than its factorization.

2653441560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95758 (or 95751 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2653441560 is about 51511.5672446490. The cubic root of 2653441560 is about 1384.4263042947.

The spelling of 2653441560 in words is "two billion, six hundred fifty-three million, four hundred forty-one thousand, five hundred sixty".