2254062720 has 768 divisors, whose sum is σ = 9572169600. Its totient is φ = 445906944.

The previous prime is 2254062719. The next prime is 2254062743. The reversal of 2254062720 is 272604522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23237712 + ... + 23237808.

Almost surely, 2^2254062720 is an apocalyptic number.

2254062720 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 2254062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786084800).

2254062720 is an abundant number, since it is smaller than the sum of its proper divisors (7318106880).

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

2254062720 is a wasteful number, since it uses less digits than its factorization.

2254062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2254062720 is about 47476.9704172455. The cubic root of 2254062720 is about 1311.1589146178.

The spelling of 2254062720 in words is "two billion, two hundred fifty-four million, sixty-two thousand, seven hundred twenty".