2261515464 has 256 divisors, whose sum is σ = 7003718400. Its totient is φ = 680244480.

The previous prime is 2261515429. The next prime is 2261515471. The reversal of 2261515464 is 4645151622.

2261515464 is a `hidden beast` number, since 2 + 2 + 61 + 51 + 546 + 4 = 666.

It is a super-2 number, since 2×2261515464² = 10228904387822270592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13874247 + ... + 13874409.

It is an arithmetic number, because the mean of its divisors is an integer number (27358275).

Almost surely, 2^2261515464 is an apocalyptic number.

2261515464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261515464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501859200).

2261515464 is an abundant number, since it is smaller than the sum of its proper divisors (4742202936).

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

2261515464 is a wasteful number, since it uses less digits than its factorization.

2261515464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2261515464 is about 47555.3936373152. The cubic root of 2261515464 is about 1312.6023796057.

The spelling of 2261515464 in words is "two billion, two hundred sixty-one million, five hundred fifteen thousand, four hundred sixty-four".