2256024451950 has 288 divisors, whose sum is σ = 6679459987200. Its totient is φ = 543372572160.

The previous prime is 2256024451939. The next prime is 2256024451987. The reversal of 2256024451950 is 591544206522.

2256024451950 is a `hidden beast` number, since 2 + 2 + 5 + 60 + 24 + 4 + 519 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2256024451896 and 2256024451905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60352866 + ... + 60390234.

It is an arithmetic number, because the mean of its divisors is an integer number (23192569400).

Almost surely, 2^{2256024451950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256024451950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339729993600).

2256024451950 is an abundant number, since it is smaller than the sum of its proper divisors (4423435535250).

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

2256024451950 is a wasteful number, since it uses less digits than its factorization.

2256024451950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37736 (or 37728 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2256024451950 in words is "two trillion, two hundred fifty-six billion, twenty-four million, four hundred fifty-one thousand, nine hundred fifty".