2042414600 has 48 divisors (see below), whose sum is σ = 4819520400. Its totient is φ = 804767040.

The previous prime is 2042414597. The next prime is 2042414603. The reversal of 2042414600 is 64142402.

It is an interprime number because it is at equal distance from previous prime (2042414597) and next prime (2042414603).

It is not an unprimeable number, because it can be changed into a prime (2042414603) 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, 62810 + ... + 89609.

It is an arithmetic number, because the mean of its divisors is an integer number (100406675).

Almost surely, 2^2042414600 is an apocalyptic number.

2042414600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042414600 is an abundant number, since it is smaller than the sum of its proper divisors (2777105800).

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

2042414600 is a wasteful number, since it uses less digits than its factorization.

2042414600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152502 (or 152493 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2042414600 is about 45193.0813288937. The cubic root of 2042414600 is about 1268.7653282625.

The spelling of 2042414600 in words is "two billion, forty-two million, four hundred fourteen thousand, six hundred".