2402400000 has 864 divisors, whose sum is σ = 10730313216. Its totient is φ = 460800000.

The previous prime is 2402399969. The next prime is 2402400017. The reversal of 2402400000 is 42042.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184799994 + ... + 184800006.

It is an arithmetic number, because the mean of its divisors is an integer number (12419344).

Almost surely, 2^2402400000 is an apocalyptic number.

2402400000 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 2402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365156608).

2402400000 is an abundant number, since it is smaller than the sum of its proper divisors (8327913216).

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

2402400000 is an equidigital number, since it uses as much as digits as its factorization.

2402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2402400000 is about 49014.2836324270. The cubic root of 2402400000 is about 1339.3120401174.

Adding to 2402400000 its reverse (42042), we get a palindrome (2402442042).

It can be divided in two parts, 240 and 2400000, that multiplied together give a square (576000000 = 24000²).

The spelling of 2402400000 in words is "two billion, four hundred two million, four hundred thousand".