2413588420 has 24 divisors (see below), whose sum is σ = 5102559000. Its totient is φ = 958954752.

The previous prime is 2413588399. The next prime is 2413588427. The reversal of 2413588420 is 248853142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 2373443524 = 6336^2 + 48718^2 .

It is a super-2 number, since 2×2413588420² = 11650818122316192800, 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 2413588420.

It is not an unprimeable number, because it can be changed into a prime (2413588427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401985 + ... + 407944.

It is an arithmetic number, because the mean of its divisors is an integer number (212606625).

Almost surely, 2^2413588420 is an apocalyptic number.

2413588420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413588420 is an abundant number, since it is smaller than the sum of its proper divisors (2688970580).

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

2413588420 is a wasteful number, since it uses less digits than its factorization.

2413588420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810087 (or 810085 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 2413588420 is about 49128.2853354358. The cubic root of 2413588420 is about 1341.3879618781.

The spelling of 2413588420 in words is "two billion, four hundred thirteen million, five hundred eighty-eight thousand, four hundred twenty".