2021629824 has 96 divisors (see below), whose sum is σ = 5845724040. Its totient is φ = 670602240.

The previous prime is 2021629823. The next prime is 2021629891. The reversal of 2021629824 is 4289261202.

2021629824 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 629 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021629823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238914 + ... + 247230.

Almost surely, 2^2021629824 is an apocalyptic number.

2021629824 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 2021629824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922862020).

2021629824 is an abundant number, since it is smaller than the sum of its proper divisors (3824094216).

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

2021629824 is a wasteful number, since it uses less digits than its factorization.

2021629824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2021629824 is about 44962.5380066562. The cubic root of 2021629824 is about 1264.4467522972.

The spelling of 2021629824 in words is "two billion, twenty-one million, six hundred twenty-nine thousand, eight hundred twenty-four".