2251235524000 has 192 divisors, whose sum is σ = 5579192691072. Its totient is φ = 892709376000.

The previous prime is 2251235523931. The next prime is 2251235524001. The reversal of 2251235524000 is 4255321522.

It is a super-2 number, since 2×2251235524000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2251235524001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777090552 + ... + 777093448.

It is an arithmetic number, because the mean of its divisors is an integer number (29058295266).

Almost surely, 2^{2251235524000} is an apocalyptic number.

2251235524000 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 2251235524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789596345536).

2251235524000 is an abundant number, since it is smaller than the sum of its proper divisors (3327957167072).

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

2251235524000 is a wasteful number, since it uses less digits than its factorization.

2251235524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 2251235524000 in words is "two trillion, two hundred fifty-one billion, two hundred thirty-five million, five hundred twenty-four thousand".