2032900299248 has 960 divisors, whose sum is σ = 5760351313920. Its totient is φ = 673239859200.

The previous prime is 2032900299169. The next prime is 2032900299263. The reversal of 2032900299248 is 8429920092302.

It is a junction number, because it is equal to n+sod(n) for n = 2032900299196 and 2032900299205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11356984823 + ... + 11356985001.

It is an arithmetic number, because the mean of its divisors is an integer number (6000365952).

Almost surely, 2^{2032900299248} is an apocalyptic number.

2032900299248 is a gapful number since it is divisible by the number (28) 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 2032900299248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880175656960).

2032900299248 is an abundant number, since it is smaller than the sum of its proper divisors (3727451014672).

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

2032900299248 is a wasteful number, since it uses less digits than its factorization.

2032900299248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 2032900299248 in words is "two trillion, thirty-two billion, nine hundred million, two hundred ninety-nine thousand, two hundred forty-eight".