2253726720 has 704 divisors, whose sum is σ = 9762716160. Its totient is φ = 481296384.

The previous prime is 2253726719. The next prime is 2253726731. The reversal of 2253726720 is 276273522.

2253726720 is a `hidden beast` number, since 225 + 372 + 67 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450492 + ... + 16450628.

Almost surely, 2^2253726720 is an apocalyptic number.

2253726720 is a gapful number since it is divisible by the number (20) 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 2253726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881358080).

2253726720 is an abundant number, since it is smaller than the sum of its proper divisors (7508989440).

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

2253726720 is a wasteful number, since it uses less digits than its factorization.

2253726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2253726720 is about 47473.4317276516. The cubic root of 2253726720 is about 1311.0937624397.

The spelling of 2253726720 in words is "two billion, two hundred fifty-three million, seven hundred twenty-six thousand, seven hundred twenty".