2027681424 has 80 divisors (see below), whose sum is σ = 5892152640. Its totient is φ = 675882144.

The previous prime is 2027681417. The next prime is 2027681429. The reversal of 2027681424 is 4241867202.

It is a super-2 number, since 2×2027681424² = 8222983914469335552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2027681429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6019 + ... + 63965.

It is an arithmetic number, because the mean of its divisors is an integer number (73651908).

Almost surely, 2^2027681424 is an apocalyptic number.

2027681424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027681424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946076320).

2027681424 is an abundant number, since it is smaller than the sum of its proper divisors (3864471216).

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

2027681424 is an frugal number, since it uses more digits than its factorization.

2027681424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57976 (or 57952 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2027681424 is about 45029.7837436513. The cubic root of 2027681424 is about 1265.7071715537.

The spelling of 2027681424 in words is "two billion, twenty-seven million, six hundred eighty-one thousand, four hundred twenty-four".