2690918400 has 144 divisors (see below), whose sum is σ = 8896305600. Its totient is φ = 717537280.

The previous prime is 2690918383. The next prime is 2690918407. The reversal of 2690918400 is 48190962.

It is not an unprimeable number, because it can be changed into a prime (2690918407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144841 + ... + 162359.

It is an arithmetic number, because the mean of its divisors is an integer number (61779900).

Almost surely, 2^2690918400 is an apocalyptic number.

2690918400 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 2690918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448152800).

2690918400 is an abundant number, since it is smaller than the sum of its proper divisors (6205387200).

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

2690918400 is a wasteful number, since it uses less digits than its factorization.

2690918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17554 (or 17529 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2690918400 is about 51874.0628831018. The cubic root of 2690918400 is about 1390.9136721933.

The spelling of 2690918400 in words is "two billion, six hundred ninety million, nine hundred eighteen thousand, four hundred".