2021413040 has 80 divisors (see below), whose sum is σ = 4966036320. Its totient is φ = 763084800.

The previous prime is 2021413039. The next prime is 2021413049. The reversal of 2021413040 is 403141202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2021413040² = 8172221356564083200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2021413049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418640 + ... + 423440.

It is an arithmetic number, because the mean of its divisors is an integer number (62075454).

Almost surely, 2^2021413040 is an apocalyptic number.

2021413040 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 2021413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483018160).

2021413040 is an abundant number, since it is smaller than the sum of its proper divisors (2944623280).

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

2021413040 is a wasteful number, since it uses less digits than its factorization.

2021413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2021413040 is about 44960.1272240193. The cubic root of 2021413040 is about 1264.4015541737.

Adding to 2021413040 its reverse (403141202), we get a palindrome (2424554242).

The spelling of 2021413040 in words is "two billion, twenty-one million, four hundred thirteen thousand, forty".