1824138420 has 96 divisors (see below), whose sum is σ = 5824078848. Its totient is φ = 422602752.

The previous prime is 1824138409. The next prime is 1824138427. The reversal of 1824138420 is 248314281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1824138427) 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, 55524 + ... + 82043.

It is an arithmetic number, because the mean of its divisors is an integer number (60667488).

Almost surely, 2^1824138420 is an apocalyptic number.

1824138420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1824138420 is an abundant number, since it is smaller than the sum of its proper divisors (3999940428).

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

1824138420 is a wasteful number, since it uses less digits than its factorization.

1824138420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137609 (or 137607 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1824138420 is about 42709.9335049822. The cubic root of 1824138420 is about 1221.8538553737.

The spelling of 1824138420 in words is "one billion, eight hundred twenty-four million, one hundred thirty-eight thousand, four hundred twenty".