2181409937280 has 1280 divisors, whose sum is σ = 9309402748800. Its totient is φ = 476228616192.

The previous prime is 2181409937263. The next prime is 2181409937293. The reversal of 2181409937280 is 827399041812.

2181409937280 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 409 + 93 + 72 + 80 = 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 159 ways as a sum of consecutive naturals, for example, 1020780372 + ... + 1020782508.

Almost surely, 2^{2181409937280} is an apocalyptic number.

2181409937280 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 2181409937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654701374400).

2181409937280 is an abundant number, since it is smaller than the sum of its proper divisors (7127992811520).

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

2181409937280 is a wasteful number, since it uses less digits than its factorization.

2181409937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2181409937280 in words is "two trillion, one hundred eighty-one billion, four hundred nine million, nine hundred thirty-seven thousand, two hundred eighty".