2402004000 has 384 divisors, whose sum is σ = 8876335104. Its totient is φ = 562560000.

The previous prime is 2402003993. The next prime is 2402004029. The reversal of 2402004000 is 4002042.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4091707 + ... + 4092293.

It is an arithmetic number, because the mean of its divisors is an integer number (23115456).

Almost surely, 2^2402004000 is an apocalyptic number.

2402004000 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 2402004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438167552).

2402004000 is an abundant number, since it is smaller than the sum of its proper divisors (6474331104).

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

2402004000 is a wasteful number, since it uses less digits than its factorization.

2402004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 639 counting only the distinct ones).

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

The square root of 2402004000 is about 49010.2438271837. The cubic root of 2402004000 is about 1339.2384475001.

Adding to 2402004000 its reverse (4002042), we get a palindrome (2406006042).

The spelling of 2402004000 in words is "two billion, four hundred two million, four thousand".