2240690400 has 432 divisors, whose sum is σ = 8752502304. Its totient is φ = 535818240.

The previous prime is 2240690399. The next prime is 2240690407. The reversal of 2240690400 is 40960422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240690407) 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 71 ways as a sum of consecutive naturals, for example, 3462877 + ... + 3463523.

It is an arithmetic number, because the mean of its divisors is an integer number (20260422).

Almost surely, 2^2240690400 is an apocalyptic number.

2240690400 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 2240690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376251152).

2240690400 is an abundant number, since it is smaller than the sum of its proper divisors (6511811904).

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

2240690400 is a wasteful number, since it uses less digits than its factorization.

2240690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2240690400 is about 47335.9313840976. The cubic root of 2240690400 is about 1308.5609355160.

The spelling of 2240690400 in words is "two billion, two hundred forty million, six hundred ninety thousand, four hundred".