2251026720 has 192 divisors, whose sum is σ = 8092103040. Its totient is φ = 584008704.

The previous prime is 2251026709. The next prime is 2251026727. The reversal of 2251026720 is 276201522.

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

It is not an unprimeable number, because it can be changed into a prime (2251026727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152799 + ... + 166881.

It is an arithmetic number, because the mean of its divisors is an integer number (42146370).

Almost surely, 2^2251026720 is an apocalyptic number.

2251026720 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 2251026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046051520).

2251026720 is an abundant number, since it is smaller than the sum of its proper divisors (5841076320).

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

2251026720 is a wasteful number, since it uses less digits than its factorization.

2251026720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144 (or 14130 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2251026720 is about 47444.9862472316. The cubic root of 2251026720 is about 1310.5699829137.

The spelling of 2251026720 in words is "two billion, two hundred fifty-one million, twenty-six thousand, seven hundred twenty".