2256751414302 has 128 divisors (see below), whose sum is σ = 5815492236288. Its totient is φ = 566811033600.

The previous prime is 2256751414297. The next prime is 2256751414303. The reversal of 2256751414302 is 2034141576522.

It is a happy number.

2256751414302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256751414303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1613278 + ... + 2667614.

It is an arithmetic number, because the mean of its divisors is an integer number (45433533096).

Almost surely, 2^{2256751414302} is an apocalyptic number.

2256751414302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256751414302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907746118144).

2256751414302 is an abundant number, since it is smaller than the sum of its proper divisors (3558740821986).

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

2256751414302 is a wasteful number, since it uses less digits than its factorization.

2256751414302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054514.

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2256751414302 in words is "two trillion, two hundred fifty-six billion, seven hundred fifty-one million, four hundred fourteen thousand, three hundred two".