2129258880 has 512 divisors, whose sum is σ = 8930304000. Its totient is φ = 469131264.

The previous prime is 2129258849. The next prime is 2129258893. The reversal of 2129258880 is 888529212.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 3507537 + ... + 3508143.

It is an arithmetic number, because the mean of its divisors is an integer number (17442000).

Almost surely, 2^2129258880 is an apocalyptic number.

2129258880 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 2129258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465152000).

2129258880 is an abundant number, since it is smaller than the sum of its proper divisors (6801045120).

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

2129258880 is a wasteful number, since it uses less digits than its factorization.

2129258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2129258880 is about 46143.8932037599. The cubic root of 2129258880 is about 1286.4991068665.

The spelling of 2129258880 in words is "two billion, one hundred twenty-nine million, two hundred fifty-eight thousand, eight hundred eighty".