2180457737640 has 1536 divisors, whose sum is σ = 9628357939200. Its totient is φ = 415111495680.

The previous prime is 2180457737611. The next prime is 2180457737641. The reversal of 2180457737640 is 467377540812.

2180457737640 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 4 + 577 + 3 + 7 + 64 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2180457737641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1097360727 + ... + 1097362713.

It is an arithmetic number, because the mean of its divisors is an integer number (6268462200).

Almost surely, 2^{2180457737640} is an apocalyptic number.

2180457737640 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 2180457737640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814178969600).

2180457737640 is an abundant number, since it is smaller than the sum of its proper divisors (7447900201560).

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

2180457737640 is a wasteful number, since it uses less digits than its factorization.

2180457737640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 2180457737640 in words is "two trillion, one hundred eighty billion, four hundred fifty-seven million, seven hundred thirty-seven thousand, six hundred forty".