2024642000 has 40 divisors (see below), whose sum is σ = 4895589192. Its totient is φ = 809856000.

The previous prime is 2024641967. The next prime is 2024642041. The reversal of 2024642000 is 2464202.

It can be written as a sum of positive squares in 4 ways, for example, as 9709456 + 2014932544 = 3116^2 + 44888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504161 + ... + 508160.

Almost surely, 2^2024642000 is an apocalyptic number.

2024642000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024642000 is an abundant number, since it is smaller than the sum of its proper divisors (2870947192).

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

2024642000 is a wasteful number, since it uses less digits than its factorization.

2024642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012344 (or 1012328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2024642000 is about 44996.0220463987. The cubic root of 2024642000 is about 1265.0744382761.

It can be divided in two parts, 20 and 24642000, that multiplied together give a square (492840000 = 22200²).

The spelling of 2024642000 in words is "two billion, twenty-four million, six hundred forty-two thousand".