2314412100 has 648 divisors, whose sum is σ = 9941113728. Its totient is φ = 442713600.

The previous prime is 2314412069. The next prime is 2314412101. The reversal of 2314412100 is 12144132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2314412101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6306117 + ... + 6306483.

Almost surely, 2^2314412100 is an apocalyptic number.

2314412100 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 2314412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970556864).

2314412100 is an abundant number, since it is smaller than the sum of its proper divisors (7626701628).

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

2314412100 is a wasteful number, since it uses less digits than its factorization.

2314412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2314412100 is about 48108.3371153067. The cubic root of 2314412100 is about 1322.7574931340.

Adding to 2314412100 its reverse (12144132), we get a palindrome (2326556232).

It can be divided in two parts, 2314 and 412100, that added together give a palindrome (414414).

The spelling of 2314412100 in words is "two billion, three hundred fourteen million, four hundred twelve thousand, one hundred".