2132642270304 has 1536 divisors, whose sum is σ = 8648736768000. Its totient is φ = 494693941248.

The previous prime is 2132642270257. The next prime is 2132642270347. The reversal of 2132642270304 is 4030722462312.

2132642270304 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 642 + 2 + 7 + 0 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2006248077 + ... + 2006249139.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688000).

Almost surely, 2^{2132642270304} is an apocalyptic number.

2132642270304 is a gapful number since it is divisible by the number (24) 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 2132642270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324368384000).

2132642270304 is an abundant number, since it is smaller than the sum of its proper divisors (6516094497696).

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

2132642270304 is a wasteful number, since it uses less digits than its factorization.

2132642270304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2132642270304 in words is "two trillion, one hundred thirty-two billion, six hundred forty-two million, two hundred seventy thousand, three hundred four".