2086242400 has 72 divisors (see below), whose sum is σ = 5556066264. Its totient is φ = 758630400.

The previous prime is 2086242377. The next prime is 2086242407. The reversal of 2086242400 is 42426802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086242407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109737 + ... + 127336.

It is an arithmetic number, because the mean of its divisors is an integer number (77167587).

Almost surely, 2^2086242400 is an apocalyptic number.

2086242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086242400 is an abundant number, since it is smaller than the sum of its proper divisors (3469823864).

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

2086242400 is a wasteful number, since it uses less digits than its factorization.

2086242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237104 (or 237091 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2086242400 is about 45675.4025707492. The cubic root of 2086242400 is about 1277.7765762364.

The spelling of 2086242400 in words is "two billion, eighty-six million, two hundred forty-two thousand, four hundred".