2102507374240 has 288 divisors, whose sum is σ = 6307876769040. Its totient is φ = 656291414016.

The previous prime is 2102507374189. The next prime is 2102507374267. The reversal of 2102507374240 is 424737052012.

It can be written as a sum of positive squares in 8 ways, for example, as 295644487824 + 1806862886416 = 543732^2 + 1344196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2102507374240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7298866 + ... + 7581454.

Almost surely, 2^{2102507374240} is an apocalyptic number.

2102507374240 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 2102507374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153938384520).

2102507374240 is an abundant number, since it is smaller than the sum of its proper divisors (4205369394800).

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

2102507374240 is a wasteful number, since it uses less digits than its factorization.

2102507374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282704 (or 282689 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 2102507374240 in words is "two trillion, one hundred two billion, five hundred seven million, three hundred seventy-four thousand, two hundred forty".