2021578944 has 336 divisors, whose sum is σ = 6953146368. Its totient is φ = 506880000.

The previous prime is 2021578907. The next prime is 2021578957. The reversal of 2021578944 is 4498751202.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2021578896 and 2021578905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5041144 + ... + 5041544.

It is an arithmetic number, because the mean of its divisors is an integer number (20693888).

Almost surely, 2^2021578944 is an apocalyptic number.

2021578944 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 2021578944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476573184).

2021578944 is an abundant number, since it is smaller than the sum of its proper divisors (4931567424).

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

2021578944 is a wasteful number, since it uses less digits than its factorization.

2021578944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2021578944 is about 44961.9721987370. The cubic root of 2021578944 is about 1264.4361444220.

The spelling of 2021578944 in words is "two billion, twenty-one million, five hundred seventy-eight thousand, nine hundred forty-four".