2405426100 has 288 divisors, whose sum is σ = 8771438592. Its totient is φ = 494400000.

The previous prime is 2405426003. The next prime is 2405426117. The reversal of 2405426100 is 16245042.

It is a super-2 number, since 2×2405426100² = 11572149445122420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332585 + ... + 2333615.

It is an arithmetic number, because the mean of its divisors is an integer number (30456384).

Almost surely, 2^2405426100 is an apocalyptic number.

2405426100 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 2405426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385719296).

2405426100 is an abundant number, since it is smaller than the sum of its proper divisors (6366012492).

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

2405426100 is a wasteful number, since it uses less digits than its factorization.

2405426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2405426100 is about 49045.1434904619. The cubic root of 2405426100 is about 1339.8741435223.

It can be divided in two parts, 240542 and 6100, that added together give a palindrome (246642).

The spelling of 2405426100 in words is "two billion, four hundred five million, four hundred twenty-six thousand, one hundred".