2027642100 has 72 divisors (see below), whose sum is σ = 6399986208. Its totient is φ = 491548800.

The previous prime is 2027642033. The next prime is 2027642129. The reversal of 2027642100 is 12467202.

It is a super-2 number, since 2×2027642100² = 8222664971384820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 303919 + ... + 310518.

Almost surely, 2^2027642100 is an apocalyptic number.

2027642100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027642100 is an abundant number, since it is smaller than the sum of its proper divisors (4372344108).

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

2027642100 is a wasteful number, since it uses less digits than its factorization.

2027642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614465 (or 614458 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2027642100 is about 45029.3470971987. The cubic root of 2027642100 is about 1265.6989893035.

The spelling of 2027642100 in words is "two billion, twenty-seven million, six hundred forty-two thousand, one hundred".