2219257861632 has 720 divisors, whose sum is σ = 8109655971120. Its totient is φ = 595415826432.

The previous prime is 2219257861603. The next prime is 2219257861633. The reversal of 2219257861632 is 2361687529122.

2219257861632 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 2 + 578 + 6 + 1 + 63 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219257861633) 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, 5055256869 + ... + 5055257307.

It is an arithmetic number, because the mean of its divisors is an integer number (11263411071).

Almost surely, 2^{2219257861632} 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 2219257861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054827985560).

2219257861632 is an abundant number, since it is smaller than the sum of its proper divisors (5890398109488).

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

2219257861632 is an frugal number, since it uses more digits than its factorization.

2219257861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 468 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 2219257861632 in words is "two trillion, two hundred nineteen billion, two hundred fifty-seven million, eight hundred sixty-one thousand, six hundred thirty-two".