2215015131440 has 320 divisors, whose sum is σ = 5593082019840. Its totient is φ = 813143162880.

The previous prime is 2215015131401. The next prime is 2215015131479. The reversal of 2215015131440 is 441315105122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2215015131401) and next prime (2215015131479).

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, 4094297570 + ... + 4094298110.

It is an arithmetic number, because the mean of its divisors is an integer number (17478381312).

Almost surely, 2^{2215015131440} is an apocalyptic number.

2215015131440 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 2215015131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796541009920).

2215015131440 is an abundant number, since it is smaller than the sum of its proper divisors (3378066888400).

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

2215015131440 is a wasteful number, since it uses less digits than its factorization.

2215015131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 2215015131440 in words is "two trillion, two hundred fifteen billion, fifteen million, one hundred thirty-one thousand, four hundred forty".