2042040000 has 1120 divisors, whose sum is σ = 9598127616. Its totient is φ = 368640000.

The previous prime is 2042039977. The next prime is 2042040047. The reversal of 2042040000 is 402402.

It is a tau number, because it is divible by the number of its divisors (1120).

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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120119992 + ... + 120120008.

Almost surely, 2^2042040000 is an apocalyptic number.

2042040000 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 2042040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799063808).

2042040000 is an abundant number, since it is smaller than the sum of its proper divisors (7556087616).

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

2042040000 is a wasteful number, since it uses less digits than its factorization.

2042040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

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

The square root of 2042040000 is about 45188.9366991524. The cubic root of 2042040000 is about 1268.6877552839.

Adding to 2042040000 its reverse (402402), we get a palindrome (2042442402).

It can be divided in two parts, 204 and 2040000, that multiplied together give a square (416160000 = 20400²).

The spelling of 2042040000 in words is "two billion, forty-two million, forty thousand", and thus it is an eban number.