2405705280 has 224 divisors, whose sum is σ = 8367857280. Its totient is φ = 580730880.

The previous prime is 2405705279. The next prime is 2405705287. The reversal of 2405705280 is 825075042.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2405705287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4318762 + ... + 4319318.

Almost surely, 2^2405705280 is an apocalyptic number.

2405705280 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 2405705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183928640).

2405705280 is an abundant number, since it is smaller than the sum of its proper divisors (5962152000).

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

2405705280 is a wasteful number, since it uses less digits than its factorization.

2405705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 2405705280 is about 49047.9895612450. The cubic root of 2405705280 is about 1339.9259779412.

It can be divided in two parts, 240570 and 5280, that multiplied together give a square (1270209600 = 35640²).

The spelling of 2405705280 in words is "two billion, four hundred five million, seven hundred five thousand, two hundred eighty".