2163619325952 has 1152 divisors, whose sum is σ = 7920345888000. Its totient is φ = 566466969600.

The previous prime is 2163619325951. The next prime is 2163619325977. The reversal of 2163619325952 is 2595239163612.

2163619325952 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 6 + 19 + 32 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (2163619325951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4406556427 + ... + 4406556917.

It is an arithmetic number, because the mean of its divisors is an integer number (6875300250).

Almost surely, 2^{2163619325952} 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 2163619325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960172944000).

2163619325952 is an abundant number, since it is smaller than the sum of its proper divisors (5756726562048).

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

2163619325952 is a wasteful number, since it uses less digits than its factorization.

2163619325952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 561 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 2163619325952 in words is "two trillion, one hundred sixty-three billion, six hundred nineteen million, three hundred twenty-five thousand, nine hundred fifty-two".