2261624610 has 128 divisors (see below), whose sum is σ = 6295449600. Its totient is φ = 509333760.

The previous prime is 2261624609. The next prime is 2261624611. The reversal of 2261624610 is 164261622.

It is an interprime number because it is at equal distance from previous prime (2261624609) and next prime (2261624611).

It is a super-2 number, since 2×2261624610² = 10229891753115304200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2261624611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6299611 + ... + 6299969.

It is an arithmetic number, because the mean of its divisors is an integer number (49183200).

Almost surely, 2^2261624610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261624610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147724800).

2261624610 is an abundant number, since it is smaller than the sum of its proper divisors (4033824990).

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

2261624610 is a wasteful number, since it uses less digits than its factorization.

2261624610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2261624610 is about 47556.5411904609. The cubic root of 2261624610 is about 1312.6234956813.

The spelling of 2261624610 in words is "two billion, two hundred sixty-one million, six hundred twenty-four thousand, six hundred ten".