2251960896 has 224 divisors, whose sum is σ = 6713159040. Its totient is φ = 662667264.

The previous prime is 2251960891. The next prime is 2251960901. The reversal of 2251960896 is 6980691522.

It is an interprime number because it is at equal distance from previous prime (2251960891) and next prime (2251960901).

It is a super-2 number, since 2×2251960896² = 10142655754226245632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2251960891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3501951 + ... + 3502593.

It is an arithmetic number, because the mean of its divisors is an integer number (29969460).

Almost surely, 2^2251960896 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 2251960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356579520).

2251960896 is an abundant number, since it is smaller than the sum of its proper divisors (4461198144).

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

2251960896 is a wasteful number, since it uses less digits than its factorization.

2251960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 2251960896 is about 47454.8300597526. The cubic root of 2251960896 is about 1310.7512533373.

The spelling of 2251960896 in words is "two billion, two hundred fifty-one million, nine hundred sixty thousand, eight hundred ninety-six".