2405634000 has 640 divisors, whose sum is σ = 9983361024. Its totient is φ = 483840000.

The previous prime is 2405633983. The next prime is 2405634017. The reversal of 2405634000 is 4365042.

2405634000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2405633983) and next prime (2405634017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18941937 + ... + 18942063.

Almost surely, 2^2405634000 is an apocalyptic number.

2405634000 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 2405634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991680512).

2405634000 is an abundant number, since it is smaller than the sum of its proper divisors (7577727024).

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

2405634000 is a wasteful number, since it uses less digits than its factorization.

2405634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2405634000 is about 49047.2629205749. The cubic root of 2405634000 is about 1339.9127440027.

Adding to 2405634000 its reverse (4365042), we get a palindrome (2409999042).

The spelling of 2405634000 in words is "two billion, four hundred five million, six hundred thirty-four thousand".