2261506624 has 42 divisors (see below), whose sum is σ = 4859460690. Its totient is φ = 1043767296.

The previous prime is 2261506589. The next prime is 2261506649. The reversal of 2261506624 is 4266051622.

It can be written as a sum of positive squares in 3 ways, for example, as 3356224 + 2258150400 = 1832^2 + 47520^2 .

It is a super-4 number, since 4×2261506624⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2261506624.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93729 + ... + 115360.

It is an arithmetic number, because the mean of its divisors is an integer number (115701445).

Almost surely, 2^2261506624 is an apocalyptic number.

It is an amenable number.

2261506624 is an abundant number, since it is smaller than the sum of its proper divisors (2597954066).

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

2261506624 is a wasteful number, since it uses less digits than its factorization.

2261506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209127 (or 209104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2261506624 is about 47555.3006929827. The cubic root of 2261506624 is about 1312.6006693336.

The spelling of 2261506624 in words is "two billion, two hundred sixty-one million, five hundred six thousand, six hundred twenty-four".