2158512445440 has 1152 divisors, whose sum is σ = 8606131934400. Its totient is φ = 495640903680.

The previous prime is 2158512445387. The next prime is 2158512445471. The reversal of 2158512445440 is 445442158512.

2158512445440 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 512 + 44 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2668123756 + ... + 2668124564.

Almost surely, 2^{2158512445440} is an apocalyptic number.

2158512445440 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 2158512445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303065967200).

2158512445440 is an abundant number, since it is smaller than the sum of its proper divisors (6447619488960).

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

2158512445440 is a wasteful number, since it uses less digits than its factorization.

2158512445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 2158512445440 in words is "two trillion, one hundred fifty-eight billion, five hundred twelve million, four hundred forty-five thousand, four hundred forty".