2156251350240 has 960 divisors, whose sum is σ = 8912161266624. Its totient is φ = 486022643712.

The previous prime is 2156251350221. The next prime is 2156251350271. The reversal of 2156251350240 is 420531526512.

2156251350240 is a `hidden beast` number, since 2 + 1 + 5 + 62 + 5 + 1 + 350 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2156251350195 and 2156251350204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105963747 + ... + 105984093.

Almost surely, 2^{2156251350240} is an apocalyptic number.

2156251350240 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 2156251350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456080633312).

2156251350240 is an abundant number, since it is smaller than the sum of its proper divisors (6755909916384).

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

2156251350240 is a wasteful number, since it uses less digits than its factorization.

2156251350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20441 (or 20424 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 2156251350240 its reverse (420531526512), we get a palindrome (2576782876752).

The spelling of 2156251350240 in words is "two trillion, one hundred fifty-six billion, two hundred fifty-one million, three hundred fifty thousand, two hundred forty".