2612635960 has 64 divisors (see below), whose sum is σ = 6432566400. Its totient is φ = 947126400.

The previous prime is 2612635943. The next prime is 2612635969. The reversal of 2612635960 is 695362162.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612635969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136671 + ... + 154609.

It is an arithmetic number, because the mean of its divisors is an integer number (100508850).

Almost surely, 2^2612635960 is an apocalyptic number.

2612635960 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 2612635960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216283200).

2612635960 is an abundant number, since it is smaller than the sum of its proper divisors (3819930440).

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

2612635960 is a wasteful number, since it uses less digits than its factorization.

2612635960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18292 (or 18288 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 2612635960 is about 51113.9507375433. The cubic root of 2612635960 is about 1377.2928725913.

The spelling of 2612635960 in words is "two billion, six hundred twelve million, six hundred thirty-five thousand, nine hundred sixty".