2340624400 has 135 divisors (see below), whose sum is σ = 5863198423. Its totient is φ = 897932800.

The previous prime is 2340624397. The next prime is 2340624437. The reversal of 2340624400 is 44260432.

The square root of 2340624400 is 48380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 985206544 + 1355417856 = 31388^2 + 36816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39671571 + ... + 39671629.

Almost surely, 2^2340624400 is an apocalyptic number.

2340624400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2340624400 is the 48380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340624400

2340624400 is an abundant number, since it is smaller than the sum of its proper divisors (3522574023).

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

2340624400 is an equidigital number, since it uses as much as digits as its factorization.

2340624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The cubic root of 2340624400 is about 1327.7324695760.

Multiplying 2340624400 by its sum of digits (25), we get a square (58515610000 = 241900²).

2340624400 divided by its sum of digits (25) gives a square (93624976 = 9676²).

Adding to 2340624400 its reverse (44260432), we get a palindrome (2384884832).

The spelling of 2340624400 in words is "two billion, three hundred forty million, six hundred twenty-four thousand, four hundred".