2007232826880 has 160 divisors (see below), whose sum is σ = 6449122944000. Its totient is φ = 532571922432.

The previous prime is 2007232826849. The next prime is 2007232826891. The reversal of 2007232826880 is 886282327002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 871641 + ... + 2184999.

It is an arithmetic number, because the mean of its divisors is an integer number (40307018400).

Almost surely, 2^{2007232826880} is an apocalyptic number.

2007232826880 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 2007232826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224561472000).

2007232826880 is an abundant number, since it is smaller than the sum of its proper divisors (4441890117120).

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

2007232826880 is a wasteful number, since it uses less digits than its factorization.

2007232826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313584 (or 1313568 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2007232826880 in words is "two trillion, seven billion, two hundred thirty-two million, eight hundred twenty-six thousand, eight hundred eighty".