2261513562 has 128 divisors (see below), whose sum is σ = 5790873600. Its totient is φ = 583672320.

The previous prime is 2261513549. The next prime is 2261513567. The reversal of 2261513562 is 2653151622.

It is a super-2 number, since 2×2261513562² = 10228887182219855688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2261513567) 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, 6406378 + ... + 6406730.

It is an arithmetic number, because the mean of its divisors is an integer number (45241200).

Almost surely, 2^2261513562 is an apocalyptic number.

2261513562 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261513562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895436800).

2261513562 is an abundant number, since it is smaller than the sum of its proper divisors (3529360038).

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

2261513562 is a wasteful number, since it uses less digits than its factorization.

2261513562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2261513562 is about 47555.3736395794. The cubic root of 2261513562 is about 1312.6020116267.

The spelling of 2261513562 in words is "two billion, two hundred sixty-one million, five hundred thirteen thousand, five hundred sixty-two".