2032428500 has 96 divisors (see below), whose sum is σ = 4636099104. Its totient is φ = 777600000.

The previous prime is 2032428457. The next prime is 2032428569. The reversal of 2032428500 is 58242302.

It can be written as a sum of positive squares in 16 ways, for example, as 1866585616 + 165842884 = 43204^2 + 12878^2 .

It is a super-2 number, since 2×2032428500² = 8261531215224500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2032428500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127600 + ... + 1129400.

It is an arithmetic number, because the mean of its divisors is an integer number (48292699).

Almost surely, 2^2032428500 is an apocalyptic number.

2032428500 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 2032428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318049552).

2032428500 is an abundant number, since it is smaller than the sum of its proper divisors (2603670604).

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

2032428500 is a wasteful number, since it uses less digits than its factorization.

2032428500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2032428500 is about 45082.4633311003. The cubic root of 2032428500 is about 1266.6941322145.

The spelling of 2032428500 in words is "two billion, thirty-two million, four hundred twenty-eight thousand, five hundred".