2213707890240 has 560 divisors, whose sum is σ = 9817627653504. Its totient is φ = 459990835200.

The previous prime is 2213707890217. The next prime is 2213707890259. The reversal of 2213707890240 is 420987073122.

2213707890240 is a `hidden beast` number, since 221 + 37 + 0 + 78 + 90 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1441260 + ... + 2550420.

Almost surely, 2^{2213707890240} is an apocalyptic number.

2213707890240 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 2213707890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908813826752).

2213707890240 is an abundant number, since it is smaller than the sum of its proper divisors (7603919763264).

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

2213707890240 is a wasteful number, since it uses less digits than its factorization.

2213707890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109208 (or 1109189 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2213707890240 in words is "two trillion, two hundred thirteen billion, seven hundred seven million, eight hundred ninety thousand, two hundred forty".