2405901900 has 72 divisors (see below), whose sum is σ = 6996583440. Its totient is φ = 638301440.

The previous prime is 2405901899. The next prime is 2405901907. The reversal of 2405901900 is 91095042.

It is a happy number.

2405901900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2405901900² = 11576727904847220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2405901907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38746 + ... + 79454.

It is an arithmetic number, because the mean of its divisors is an integer number (97174770).

Almost surely, 2^2405901900 is an apocalyptic number.

2405901900 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 2405901900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498291720).

2405901900 is an abundant number, since it is smaller than the sum of its proper divisors (4590681540).

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

2405901900 is a wasteful number, since it uses less digits than its factorization.

2405901900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40923 (or 40916 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2405901900 is about 49049.9938837917. The cubic root of 2405901900 is about 1339.9624813138.

Adding to 2405901900 its reverse (91095042), we get a palindrome (2496996942).

The spelling of 2405901900 in words is "two billion, four hundred five million, nine hundred one thousand, nine hundred".