2158046906400 has 3240 divisors, whose sum is σ = 10383469391988. Its totient is φ = 434294784000.

The previous prime is 2158046906363. The next prime is 2158046906423. The reversal of 2158046906400 is 46096408512.

2158046906400 is a `hidden beast` number, since 2 + 1 + 580 + 4 + 6 + 9 + 0 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 335644105104 + 1822402801296 = 579348^2 + 1349964^2 .

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

It is a super-2 number, since 2×2158046906400² (a number of 25 digits) contains 22 as substring.

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 539 ways as a sum of consecutive naturals, for example, 15752167132 + ... + 15752167268.

Almost surely, 2^{2158046906400} is an apocalyptic number.

2158046906400 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 2158046906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191734695994).

2158046906400 is an abundant number, since it is smaller than the sum of its proper divisors (8225422485588).

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

2158046906400 is a wasteful number, since it uses less digits than its factorization.

2158046906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2158046906400 in words is "two trillion, one hundred fifty-eight billion, forty-six million, nine hundred six thousand, four hundred".