2164396248000 has 2688 divisors, whose sum is σ = 9973836288000. Its totient is φ = 456706252800.

The previous prime is 2164396247999. The next prime is 2164396248011. The reversal of 2164396248000 is 8426934612.

2164396248000 is a `hidden beast` number, since 2 + 16 + 4 + 3 + 9 + 624 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2164396248000² (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 383 ways as a sum of consecutive naturals, for example, 9451511886 + ... + 9451512114.

Almost surely, 2^{2164396248000} is an apocalyptic number.

2164396248000 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 2164396248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986918144000).

2164396248000 is an abundant number, since it is smaller than the sum of its proper divisors (7809440040000).

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

2164396248000 is a wasteful number, since it uses less digits than its factorization.

2164396248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2164396248000 in words is "two trillion, one hundred sixty-four billion, three hundred ninety-six million, two hundred forty-eight thousand".