2253016512 has 224 divisors, whose sum is σ = 6909450240. Its totient is φ = 719124480.

The previous prime is 2253016501. The next prime is 2253016529. The reversal of 2253016512 is 2156103522.

It is a happy number.

2253016512 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×2253016512² = 10152166806689292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7338663 + ... + 7338969.

It is an arithmetic number, because the mean of its divisors is an integer number (30845760).

Almost surely, 2^2253016512 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 2253016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454725120).

2253016512 is an abundant number, since it is smaller than the sum of its proper divisors (4656433728).

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

2253016512 is a wasteful number, since it uses less digits than its factorization.

2253016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2253016512 is about 47465.9510807484. The cubic root of 2253016512 is about 1310.9560280378.

The spelling of 2253016512 in words is "two billion, two hundred fifty-three million, sixteen thousand, five hundred twelve".