2158824882240 has 1120 divisors, whose sum is σ = 8482041114624. Its totient is φ = 517948784640.

The previous prime is 2158824882229. The next prime is 2158824882257. The reversal of 2158824882240 is 422884288512.

2158824882240 is a `hidden beast` number, since 2 + 1 + 5 + 88 + 248 + 82 + 240 = 666.

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

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, 2610428707 + ... + 2610429533.

Almost surely, 2^{2158824882240} is an apocalyptic number.

2158824882240 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 2158824882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241020557312).

2158824882240 is an abundant number, since it is smaller than the sum of its proper divisors (6323216232384).

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

2158824882240 is a wasteful number, since it uses less digits than its factorization.

2158824882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 2158824882240 in words is "two trillion, one hundred fifty-eight billion, eight hundred twenty-four million, eight hundred eighty-two thousand, two hundred forty".