2146520930400 has 3240 divisors, whose sum is σ = 10347639614928. Its totient is φ = 431101440000.

The previous prime is 2146520930341. The next prime is 2146520930417. The reversal of 2146520930400 is 40390256412.

It is a happy number.

2146520930400 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 520 + 93 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 14215370325 + ... + 14215370475.

Almost surely, 2^{2146520930400} is an apocalyptic number.

2146520930400 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 2146520930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173819807464).

2146520930400 is an abundant number, since it is smaller than the sum of its proper divisors (8201118684528).

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

2146520930400 is a wasteful number, since it uses less digits than its factorization.

2146520930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2146520930400 in words is "two trillion, one hundred forty-six billion, five hundred twenty million, nine hundred thirty thousand, four hundred".