2308706400 has 864 divisors, whose sum is σ = 10425832704. Its totient is φ = 428544000.

The previous prime is 2308706399. The next prime is 2308706417. The reversal of 2308706400 is 46078032.

It is a Cunningham number, because it is equal to 48049²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74474385 + ... + 74474415.

It is an arithmetic number, because the mean of its divisors is an integer number (12066936).

Almost surely, 2^2308706400 is an apocalyptic number.

2308706400 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 2308706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212916352).

2308706400 is an abundant number, since it is smaller than the sum of its proper divisors (8117126304).

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

2308706400 is a wasteful number, since it uses less digits than its factorization.

2308706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2308706400 is about 48048.9999895940. Note that the first 4 decimals coincide. The cubic root of 2308706400 is about 1321.6696044790.

The spelling of 2308706400 in words is "two billion, three hundred eight million, seven hundred six thousand, four hundred".