2158945091424 has 960 divisors, whose sum is σ = 7426153405440. Its totient is φ = 608864256000.

The previous prime is 2158945091417. The next prime is 2158945091461. The reversal of 2158945091424 is 4241905498512.

2158945091424 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 94 + 509 + 1 + 42 + 4 = 666.

It is a super-2 number, since 2×2158945091424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4143848284 + ... + 4143848804.

It is an arithmetic number, because the mean of its divisors is an integer number (7735576464).

Almost surely, 2^{2158945091424} is an apocalyptic number.

2158945091424 is a gapful number since it is divisible by the number (24) 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 2158945091424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713076702720).

2158945091424 is an abundant number, since it is smaller than the sum of its proper divisors (5267208314016).

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

2158945091424 is a wasteful number, since it uses less digits than its factorization.

2158945091424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2158945091424 in words is "two trillion, one hundred fifty-eight billion, nine hundred forty-five million, ninety-one thousand, four hundred twenty-four".