2406076200 has 288 divisors, whose sum is σ = 8889341760. Its totient is φ = 578380800.

The previous prime is 2406076199. The next prime is 2406076201. The reversal of 2406076200 is 26706042.

It is an interprime number because it is at equal distance from previous prime (2406076199) and next prime (2406076201).

It is not an unprimeable number, because it can be changed into a prime (2406076201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2712157 + ... + 2713043.

It is an arithmetic number, because the mean of its divisors is an integer number (30865770).

Almost surely, 2^2406076200 is an apocalyptic number.

2406076200 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 2406076200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444670880).

2406076200 is an abundant number, since it is smaller than the sum of its proper divisors (6483265560).

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

2406076200 is a wasteful number, since it uses less digits than its factorization.

2406076200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2406076200 is about 49051.7706102440. The cubic root of 2406076200 is about 1339.9948392168.

The spelling of 2406076200 in words is "two billion, four hundred six million, seventy-six thousand, two hundred".