2042496720 has 240 divisors, whose sum is σ = 7512590592. Its totient is φ = 493194240.

The previous prime is 2042496683. The next prime is 2042496727. The reversal of 2042496720 is 276942402.

2042496720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042496727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3666682 + ... + 3667238.

Almost surely, 2^2042496720 is an apocalyptic number.

2042496720 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 2042496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756295296).

2042496720 is an abundant number, since it is smaller than the sum of its proper divisors (5470093872).

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

2042496720 is a wasteful number, since it uses less digits than its factorization.

2042496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2042496720 is about 45193.9898659103. The cubic root of 2042496720 is about 1268.7823325822.

The spelling of 2042496720 in words is "two billion, forty-two million, four hundred ninety-six thousand, seven hundred twenty".