2156416493400 has 288 divisors, whose sum is σ = 7868067348960. Its totient is φ = 526112133120.

The previous prime is 2156416493359. The next prime is 2156416493449. The reversal of 2156416493400 is 43946146512.

2156416493400 is a `hidden beast` number, since 2 + 1 + 564 + 1 + 6 + 49 + 3 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2236437 + ... + 3051963.

It is an arithmetic number, because the mean of its divisors is an integer number (27319678295).

Almost surely, 2^{2156416493400} is an apocalyptic number.

2156416493400 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 2156416493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934033674480).

2156416493400 is an abundant number, since it is smaller than the sum of its proper divisors (5711650855560).

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

2156416493400 is a wasteful number, since it uses less digits than its factorization.

2156416493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815675 (or 815663 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2156416493400 in words is "two trillion, one hundred fifty-six billion, four hundred sixteen million, four hundred ninety-three thousand, four hundred".