2118945024 has 243 divisors, whose sum is σ = 7159154457. Its totient is φ = 600993792.

The previous prime is 2118944963. The next prime is 2118945029. The reversal of 2118945024 is 4205498112.

The square root of 2118945024 is 46032.

It is a perfect power (a square), and thus also a powerful number.

2118945024 is a `hidden beast` number, since 2 + 1 + 189 + 450 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 874266624 = 35280^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2118945024.

It is not an unprimeable number, because it can be changed into a prime (2118945029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15466684 + ... + 15466820.

Almost surely, 2^2118945024 is an apocalyptic number.

2118945024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2118945024 is the 46032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118945024

2118945024 is an abundant number, since it is smaller than the sum of its proper divisors (5040209433).

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

2118945024 is an equidigital number, since it uses as much as digits as its factorization.

2118945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 2118945024 is about 1284.4185318579.

Multiplying 2118945024 by its sum of digits (36), we get a square (76282020864 = 276192²).

2118945024 divided by its sum of digits (36) gives a square (58859584 = 7672²).

The spelling of 2118945024 in words is "two billion, one hundred eighteen million, nine hundred forty-five thousand, twenty-four".