2261508026624 has 144 divisors (see below), whose sum is σ = 5682717680640. Its totient is φ = 872551802880.

The previous prime is 2261508026611. The next prime is 2261508026627. The reversal of 2261508026624 is 4266208051622.

It is a happy number.

It is a super-3 number, since 3×2261508026624³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2261508026627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473407 + ... + 2587265.

Almost surely, 2^{2261508026624} 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 2261508026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841358840320).

2261508026624 is an abundant number, since it is smaller than the sum of its proper divisors (3421209654016).

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

2261508026624 is a wasteful number, since it uses less digits than its factorization.

2261508026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113996 (or 1113982 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 2261508026624 in words is "two trillion, two hundred sixty-one billion, five hundred eight million, twenty-six thousand, six hundred twenty-four".