2405841264 has 200 divisors, whose sum is σ = 7190396928. Its totient is φ = 776200320.

The previous prime is 2405841257. The next prime is 2405841287. The reversal of 2405841264 is 4621485042.

2405841264 is a `hidden beast` number, since 2 + 4 + 0 + 584 + 12 + 64 = 666.

2405841264 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7735669 + ... + 7735979.

Almost surely, 2^2405841264 is an apocalyptic number.

2405841264 is a gapful number since it is divisible by the number (24) 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 2405841264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595198464).

2405841264 is an abundant number, since it is smaller than the sum of its proper divisors (4784555664).

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

2405841264 is a wasteful number, since it uses less digits than its factorization.

2405841264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2405841264 is about 49049.3757758445. The cubic root of 2405841264 is about 1339.9512241843.

The spelling of 2405841264 in words is "two billion, four hundred five million, eight hundred forty-one thousand, two hundred sixty-four".