2190601681632 has 1152 divisors, whose sum is σ = 8145930240000. Its totient is φ = 572206602240.

The previous prime is 2190601681589. The next prime is 2190601681637. The reversal of 2190601681632 is 2361861060912.

2190601681632 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 6 + 0 + 1 + 6 + 8 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190601681637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9565946094 + ... + 9565946322.

It is an arithmetic number, because the mean of its divisors is an integer number (7071120000).

Almost surely, 2^{2190601681632} 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 2190601681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072965120000).

2190601681632 is an abundant number, since it is smaller than the sum of its proper divisors (5955328558368).

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

2190601681632 is a wasteful number, since it uses less digits than its factorization.

2190601681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2190601681632 in words is "two trillion, one hundred ninety billion, six hundred one million, six hundred eighty-one thousand, six hundred thirty-two".