2213938298880 has 3072 divisors, whose sum is σ = 10741012439040. Its totient is φ = 407686348800.

The previous prime is 2213938298857. The next prime is 2213938298899. The reversal of 2213938298880 is 888928393122.

2213938298880 is a `hidden beast` number, since 2 + 2 + 1 + 393 + 82 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59836170222 + ... + 59836170258.

It is an arithmetic number, because the mean of its divisors is an integer number (3496423320).

Almost surely, 2^{2213938298880} is an apocalyptic number.

2213938298880 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 2213938298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370506219520).

2213938298880 is an abundant number, since it is smaller than the sum of its proper divisors (8527074140160).

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

2213938298880 is a wasteful number, since it uses less digits than its factorization.

2213938298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 2213938298880 in words is "two trillion, two hundred thirteen billion, nine hundred thirty-eight million, two hundred ninety-eight thousand, eight hundred eighty".