2040024000 has 224 divisors, whose sum is σ = 7699101696. Its totient is φ = 466252800.

The previous prime is 2040023959. The next prime is 2040024001. The reversal of 2040024000 is 4200402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040024001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161929 + ... + 174071.

Almost surely, 2^2040024000 is an apocalyptic number.

2040024000 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 2040024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849550848).

2040024000 is an abundant number, since it is smaller than the sum of its proper divisors (5659077696).

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

2040024000 is a wasteful number, since it uses less digits than its factorization.

2040024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2040024000 is about 45166.6248462291. The cubic root of 2040024000 is about 1268.2701146463.

Adding to 2040024000 its reverse (4200402), we get a palindrome (2044224402).

The spelling of 2040024000 in words is "two billion, forty million, twenty-four thousand".