2021464400 has 120 divisors (see below), whose sum is σ = 5002028064. Its totient is φ = 784627200.

The previous prime is 2021464391. The next prime is 2021464409. The reversal of 2021464400 is 44641202.

It is an interprime number because it is at equal distance from previous prime (2021464391) and next prime (2021464409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021464409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3628922 + ... + 3629478.

Almost surely, 2^2021464400 is an apocalyptic number.

2021464400 is a gapful number since it is divisible by the number (20) 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 2021464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501014032).

2021464400 is an abundant number, since it is smaller than the sum of its proper divisors (2980563664).

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

2021464400 is a wasteful number, since it uses less digits than its factorization.

2021464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2021464400 is about 44960.6983931522. The cubic root of 2021464400 is about 1264.4122627082.

The spelling of 2021464400 in words is "two billion, twenty-one million, four hundred sixty-four thousand, four hundred".