2251428480 has 384 divisors, whose sum is σ = 9279144000. Its totient is φ = 514418688.

The previous prime is 2251428467. The next prime is 2251428493. The reversal of 2251428480 is 848241522.

2251428480 is a `hidden beast` number, since 225 + 1 + 428 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2251428467) and next prime (2251428493).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2251428480² = 10137860401110220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845391 + ... + 848049.

Almost surely, 2^2251428480 is an apocalyptic number.

2251428480 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 2251428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639572000).

2251428480 is an abundant number, since it is smaller than the sum of its proper divisors (7027715520).

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

2251428480 is a wasteful number, since it uses less digits than its factorization.

2251428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2251428480 is about 47449.2200146641. The cubic root of 2251428480 is about 1310.6479478218.

The spelling of 2251428480 in words is "two billion, two hundred fifty-one million, four hundred twenty-eight thousand, four hundred eighty".