2104931280240 has 960 divisors, whose sum is σ = 7701449932800. Its totient is φ = 514202572800.

The previous prime is 2104931280217. The next prime is 2104931280253. The reversal of 2104931280240 is 420821394012.

2104931280240 is a `hidden beast` number, since 2 + 1 + 0 + 493 + 128 + 0 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2104931280195 and 2104931280204.

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, 4394428321 + ... + 4394428799.

It is an arithmetic number, because the mean of its divisors is an integer number (8022343680).

Almost surely, 2^{2104931280240} is an apocalyptic number.

2104931280240 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 2104931280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850724966400).

2104931280240 is an abundant number, since it is smaller than the sum of its proper divisors (5596518652560).

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

2104931280240 is a wasteful number, since it uses less digits than its factorization.

2104931280240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2104931280240 in words is "two trillion, one hundred four billion, nine hundred thirty-one million, two hundred eighty thousand, two hundred forty".