2405745820 has 36 divisors (see below), whose sum is σ = 5366740680. Its totient is φ = 905690368.

The previous prime is 2405745767. The next prime is 2405745821. The reversal of 2405745820 is 285475042.

It is a happy number.

It is a super-2 number, since 2×2405745820² = 11575225900894944800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2405745820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405745821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202330 + ... + 213889.

It is an arithmetic number, because the mean of its divisors is an integer number (149076130).

Almost surely, 2^2405745820 is an apocalyptic number.

2405745820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405745820 is an abundant number, since it is smaller than the sum of its proper divisors (2960994860).

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

2405745820 is a wasteful number, since it uses less digits than its factorization.

2405745820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416262 (or 416243 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 2405745820 is about 49048.4028282267. The cubic root of 2405745820 is about 1339.9335045343.

It can be divided in two parts, 2405 and 745820, that added together give a square (748225 = 865²).

The spelling of 2405745820 in words is "two billion, four hundred five million, seven hundred forty-five thousand, eight hundred twenty".