2215747338240 has 960 divisors, whose sum is σ = 8008527421440. Its totient is φ = 519800094720.

The previous prime is 2215747338191. The next prime is 2215747338251. The reversal of 2215747338240 is 428337475122.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2215747338240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8176189305 + ... + 8176189575.

It is an arithmetic number, because the mean of its divisors is an integer number (8342216064).

Almost surely, 2^{2215747338240} is an apocalyptic number.

2215747338240 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 2215747338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004263710720).

2215747338240 is an abundant number, since it is smaller than the sum of its proper divisors (5792780083200).

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

2215747338240 is a wasteful number, since it uses less digits than its factorization.

2215747338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 2215747338240 in words is "two trillion, two hundred fifteen billion, seven hundred forty-seven million, three hundred thirty-eight thousand, two hundred forty".