2008753400 has 24 divisors (see below), whose sum is σ = 4670352120. Its totient is φ = 803501280.

The previous prime is 2008753387. The next prime is 2008753423. The reversal of 2008753400 is 43578002.

It is a happy number.

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 5 ways as a sum of consecutive naturals, for example, 5021684 + ... + 5022083.

It is an arithmetic number, because the mean of its divisors is an integer number (194598005).

Almost surely, 2^2008753400 is an apocalyptic number.

2008753400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008753400 is an abundant number, since it is smaller than the sum of its proper divisors (2661598720).

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

2008753400 is a wasteful number, since it uses less digits than its factorization.

2008753400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043783 (or 10043774 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2008753400 is about 44819.1186883455. The cubic root of 2008753400 is about 1261.7564736135.

The spelling of 2008753400 in words is "two billion, eight million, seven hundred fifty-three thousand, four hundred".