2219401259712 has 2240 divisors, whose sum is σ = 8898410594304. Its totient is φ = 531116974080.

The previous prime is 2219401259707. The next prime is 2219401259833. The reversal of 2219401259712 is 2179521049122.

2219401259712 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 40 + 1 + 2 + 597 + 12 = 666.

It is a super-2 number, since 2×2219401259712² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31259172637 + ... + 31259172707.

Almost surely, 2^{2219401259712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219401259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449205297152).

2219401259712 is an abundant number, since it is smaller than the sum of its proper divisors (6679009334592).

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

2219401259712 is a wasteful number, since it uses less digits than its factorization.

2219401259712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2219401259712 in words is "two trillion, two hundred nineteen billion, four hundred one million, two hundred fifty-nine thousand, seven hundred twelve".