2251913664 has 224 divisors, whose sum is σ = 8000487936. Its totient is φ = 539873280.

The previous prime is 2251913663. The next prime is 2251913683. The reversal of 2251913664 is 4663191522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2251913664² = 10142230300219809792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251913663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186334 + ... + 198050.

It is an arithmetic number, because the mean of its divisors is an integer number (35716464).

Almost surely, 2^2251913664 is an apocalyptic number.

2251913664 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 2251913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000243968).

2251913664 is an abundant number, since it is smaller than the sum of its proper divisors (5748574272).

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

2251913664 is a wasteful number, since it uses less digits than its factorization.

2251913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11763 (or 11753 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 2251913664 is about 47454.3324049554. The cubic root of 2251913664 is about 1310.7420894961.

The spelling of 2251913664 in words is "two billion, two hundred fifty-one million, nine hundred thirteen thousand, six hundred sixty-four".