2213090077968 has 360 divisors, whose sum is σ = 8150864248800. Its totient is φ = 574828047360.

The previous prime is 2213090077967. The next prime is 2213090077999. The reversal of 2213090077968 is 8697700903122.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2213090077963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1567608 + ... + 2623656.

It is an arithmetic number, because the mean of its divisors is an integer number (22641289580).

Almost surely, 2^{2213090077968} is an apocalyptic number.

2213090077968 is a gapful number since it is divisible by the number (28) 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 2213090077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075432124400).

2213090077968 is an abundant number, since it is smaller than the sum of its proper divisors (5937774170832).

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

2213090077968 is a wasteful number, since it uses less digits than its factorization.

2213090077968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056097 (or 1056072 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 2213090077968 in words is "two trillion, two hundred thirteen billion, ninety million, seventy-seven thousand, nine hundred sixty-eight".