2405907840 has 384 divisors, whose sum is σ = 9041932800. Its totient is φ = 542502912.

The previous prime is 2405907767. The next prime is 2405907871. The reversal of 2405907840 is 487095042.

2405907840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10066441 + ... + 10066679.

It is an arithmetic number, because the mean of its divisors is an integer number (23546700).

Almost surely, 2^2405907840 is an apocalyptic number.

2405907840 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 2405907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520966400).

2405907840 is an abundant number, since it is smaller than the sum of its proper divisors (6636024960).

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

2405907840 is a wasteful number, since it uses less digits than its factorization.

2405907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2405907840 is about 49050.0544342206. The cubic root of 2405907840 is about 1339.9635840701.

The spelling of 2405907840 in words is "two billion, four hundred five million, nine hundred seven thousand, eight hundred forty".