2400348400 has 60 divisors (see below), whose sum is σ = 5789017872. Its totient is φ = 956446720.

The previous prime is 2400348347. The next prime is 2400348443. The reversal of 2400348400 is 48430042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93792 + ... + 116608.

Almost surely, 2^2400348400 is an apocalyptic number.

2400348400 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 2400348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894508936).

2400348400 is an abundant number, since it is smaller than the sum of its proper divisors (3388669472).

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

2400348400 is a wasteful number, since it uses less digits than its factorization.

2400348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23098 (or 23087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2400348400 is about 48993.3505692354. The cubic root of 2400348400 is about 1338.9306832629.

Adding to 2400348400 its reverse (48430042), we get a palindrome (2448778442).

The spelling of 2400348400 in words is "two billion, four hundred million, three hundred forty-eight thousand, four hundred".