2020964400 has 720 divisors, whose sum is σ = 8954982400. Its totient is φ = 410572800.

The previous prime is 2020964389. The next prime is 2020964417. The reversal of 2020964400 is 44690202.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10155501 + ... + 10155699.

Almost surely, 2^2020964400 is an apocalyptic number.

2020964400 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 2020964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477491200).

2020964400 is an abundant number, since it is smaller than the sum of its proper divisors (6934018000).

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

2020964400 is a wasteful number, since it uses less digits than its factorization.

2020964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2020964400 is about 44955.1376374269. The cubic root of 2020964400 is about 1264.3080052430.

The spelling of 2020964400 in words is "two billion, twenty million, nine hundred sixty-four thousand, four hundred".