2102591441340 has 288 divisors, whose sum is σ = 7038348757440. Its totient is φ = 504794529792.

The previous prime is 2102591441339. The next prime is 2102591441351. The reversal of 2102591441340 is 431441952012.

2102591441340 is a `hidden beast` number, since 2 + 10 + 2 + 591 + 4 + 4 + 13 + 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 = 2102591441295 and 2102591441304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71324844 + ... + 71354316.

Almost surely, 2^{2102591441340} is an apocalyptic number.

2102591441340 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 2102591441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519174378720).

2102591441340 is an abundant number, since it is smaller than the sum of its proper divisors (4935757316100).

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

2102591441340 is a wasteful number, since it uses less digits than its factorization.

2102591441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30253 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2102591441340 in words is "two trillion, one hundred two billion, five hundred ninety-one million, four hundred forty-one thousand, three hundred forty".