2021152416 has 72 divisors (see below), whose sum is σ = 5546368800. Its totient is φ = 644409216.

The previous prime is 2021152411. The next prime is 2021152453. The reversal of 2021152416 is 6142511202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2021152411) 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, 30885 + ... + 70683.

It is an arithmetic number, because the mean of its divisors is an integer number (77032900).

Almost surely, 2^2021152416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773184400).

2021152416 is an abundant number, since it is smaller than the sum of its proper divisors (3525216384).

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

2021152416 is a wasteful number, since it uses less digits than its factorization.

2021152416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39858 (or 39827 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2021152416 is about 44957.2287402148. The cubic root of 2021152416 is about 1264.3472114033.

Adding to 2021152416 its reverse (6142511202), we get a palindrome (8163663618).

It can be divided in two parts, 20211 and 52416, that added together give a palindrome (72627).

The spelling of 2021152416 in words is "two billion, twenty-one million, one hundred fifty-two thousand, four hundred sixteen".