2115166090440 has 256 divisors, whose sum is σ = 7163093710080. Its totient is φ = 496143728640.

The previous prime is 2115166090439. The next prime is 2115166090469. The reversal of 2115166090440 is 440906615112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2365744 + ... + 3134816.

It is an arithmetic number, because the mean of its divisors is an integer number (27980834805).

Almost surely, 2^{2115166090440} is an apocalyptic number.

2115166090440 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 2115166090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581546855040).

2115166090440 is an abundant number, since it is smaller than the sum of its proper divisors (5047927619640).

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

2115166090440 is a wasteful number, since it uses less digits than its factorization.

2115166090440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769184 (or 769180 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 2115166090440 in words is "two trillion, one hundred fifteen billion, one hundred sixty-six million, ninety thousand, four hundred forty".