2145292128000 has 2880 divisors, whose sum is σ = 9877131264000. Its totient is φ = 460886630400.

The previous prime is 2145292127989. The next prime is 2145292128041. The reversal of 2145292128000 is 8212925412.

2145292128000 is a `hidden beast` number, since 2 + 1 + 4 + 529 + 2 + 128 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16892063937 + ... + 16892064063.

Almost surely, 2^{2145292128000} is an apocalyptic number.

2145292128000 is a gapful number since it is divisible by the number (20) 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 2145292128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938565632000).

2145292128000 is an abundant number, since it is smaller than the sum of its proper divisors (7731839136000).

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

2145292128000 is an equidigital number, since it uses as much as digits as its factorization.

2145292128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2145292128000 in words is "two trillion, one hundred forty-five billion, two hundred ninety-two million, one hundred twenty-eight thousand".