2156014905408 has 840 divisors, whose sum is σ = 8354837760192. Its totient is φ = 543877576704.

The previous prime is 2156014905379. The next prime is 2156014905437. The reversal of 2156014905408 is 8045094106512.

2156014905408 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 0 + 14 + 90 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2156014905379) and next prime (2156014905437).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75936591 + ... + 75964977.

Almost surely, 2^{2156014905408} is an apocalyptic number.

2156014905408 is a gapful number since it is divisible by the number (28) 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 2156014905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177418880096).

2156014905408 is an abundant number, since it is smaller than the sum of its proper divisors (6198822854784).

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

2156014905408 is a wasteful number, since it uses less digits than its factorization.

2156014905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28461 (or 28435 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2156014905408 in words is "two trillion, one hundred fifty-six billion, fourteen million, nine hundred five thousand, four hundred eight".