2180399459040 has 1152 divisors, whose sum is σ = 8864955187200. Its totient is φ = 505374059520.

The previous prime is 2180399459011. The next prime is 2180399459089. The reversal of 2180399459040 is 409549930812.

2180399459040 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 3 + 9 + 9 + 4 + 590 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 973826241 + ... + 973828479.

It is an arithmetic number, because the mean of its divisors is an integer number (7695273600).

Almost surely, 2^{2180399459040} is an apocalyptic number.

2180399459040 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 2180399459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432477593600).

2180399459040 is an abundant number, since it is smaller than the sum of its proper divisors (6684555728160).

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

2180399459040 is a wasteful number, since it uses less digits than its factorization.

2180399459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2180399459040 in words is "two trillion, one hundred eighty billion, three hundred ninety-nine million, four hundred fifty-nine thousand, forty".