2612264352 has 96 divisors (see below), whose sum is σ = 7144220160. Its totient is φ = 834831360.

The previous prime is 2612264257. The next prime is 2612264359. The reversal of 2612264352 is 2534622162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2612264359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320358 + ... + 328410.

It is an arithmetic number, because the mean of its divisors is an integer number (74418960).

Almost surely, 2^2612264352 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 2612264352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572110080).

2612264352 is an abundant number, since it is smaller than the sum of its proper divisors (4531955808).

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

2612264352 is a wasteful number, since it uses less digits than its factorization.

2612264352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8198 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2612264352 is about 51110.3155145808. The cubic root of 2612264352 is about 1377.2275697930.

The spelling of 2612264352 in words is "two billion, six hundred twelve million, two hundred sixty-four thousand, three hundred fifty-two".