2102247660240 has 960 divisors, whose sum is σ = 8780210030592. Its totient is φ = 438939648000.

The previous prime is 2102247660211. The next prime is 2102247660259. The reversal of 2102247660240 is 420667422012.

2102247660240 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 2 + 4 + 7 + 6 + 602 + 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 = 2102247660195 and 2102247660204.

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, 3497915940 + ... + 3497916540.

Almost surely, 2^{2102247660240} is an apocalyptic number.

2102247660240 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 2102247660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390105015296).

2102247660240 is an abundant number, since it is smaller than the sum of its proper divisors (6677962370352).

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

2102247660240 is a wasteful number, since it uses less digits than its factorization.

2102247660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2102247660240 in words is "two trillion, one hundred two billion, two hundred forty-seven million, six hundred sixty thousand, two hundred forty".