2402084400 has 120 divisors (see below), whose sum is σ = 7902787344. Its totient is φ = 623232000.

The previous prime is 2402084389. The next prime is 2402084401. The reversal of 2402084400 is 44802042.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2402084401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17350 + ... + 71450.

Almost surely, 2^2402084400 is an apocalyptic number.

2402084400 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 2402084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951393672).

2402084400 is an abundant number, since it is smaller than the sum of its proper divisors (5500702944).

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

2402084400 is a wasteful number, since it uses less digits than its factorization.

2402084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54159 (or 54148 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2402084400 is about 49011.0640570066. The cubic root of 2402084400 is about 1339.2533896859.

Adding to 2402084400 its reverse (44802042), we get a palindrome (2446886442).

The spelling of 2402084400 in words is "two billion, four hundred two million, eighty-four thousand, four hundred".