2612554560 has 1260 divisors, whose sum is σ = 12581700516. Its totient is φ = 510935040.

The previous prime is 2612554559. The next prime is 2612554561. The reversal of 2612554560 is 654552162.

2612554560 is a `hidden beast` number, since 26 + 1 + 25 + 54 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2612554559) and next prime (2612554561).

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 1106493696 = 38808^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 (2612554561) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153679672 + ... + 153679688.

Almost surely, 2^2612554560 is an apocalyptic number.

2612554560 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 2612554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290850258).

2612554560 is an abundant number, since it is smaller than the sum of its proper divisors (9969145956).

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

2612554560 is a wasteful number, since it uses less digits than its factorization.

2612554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2612554560 is about 51113.1544712318. The cubic root of 2612554560 is about 1377.2785686717.

The spelling of 2612554560 in words is "two billion, six hundred twelve million, five hundred fifty-four thousand, five hundred sixty".