2042949600 has 504 divisors, whose sum is σ = 7787126592. Its totient is φ = 522547200.

The previous prime is 2042949563. The next prime is 2042949647. The reversal of 2042949600 is 69492402.

2042949600 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 9 + 49 + 600 = 666.

It is a Cunningham number, because it is equal to 45199²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18079144 + ... + 18079256.

It is an arithmetic number, because the mean of its divisors is an integer number (15450648).

Almost surely, 2^2042949600 is an apocalyptic number.

2042949600 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 2042949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893563296).

2042949600 is an abundant number, since it is smaller than the sum of its proper divisors (5744176992).

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

2042949600 is a wasteful number, since it uses less digits than its factorization.

2042949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2042949600 is about 45198.9999889378. Note that the first 4 decimals coincide. The cubic root of 2042949600 is about 1268.8761007750.

The spelling of 2042949600 in words is "two billion, forty-two million, nine hundred forty-nine thousand, six hundred".