2181905440260 has 1152 divisors, whose sum is σ = 8198092062720. Its totient is φ = 421421875200.

The previous prime is 2181905440237. The next prime is 2181905440271. The reversal of 2181905440260 is 620445091812.

It is a super-2 number, since 2×2181905440260² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29889115584 + ... + 29889115656.

It is an arithmetic number, because the mean of its divisors is an integer number (7116399360).

Almost surely, 2^{2181905440260} is an apocalyptic number.

2181905440260 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 2181905440260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099046031360).

2181905440260 is an abundant number, since it is smaller than the sum of its proper divisors (6016186622460).

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

2181905440260 is a wasteful number, since it uses less digits than its factorization.

2181905440260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 2181905440260 in words is "two trillion, one hundred eighty-one billion, nine hundred five million, four hundred forty thousand, two hundred sixty".