2042354500 has 96 divisors (see below), whose sum is σ = 4747238496. Its totient is φ = 764928000.

The previous prime is 2042354477. The next prime is 2042354519. The reversal of 2042354500 is 54532402.

It can be written as a sum of positive squares in 16 ways, for example, as 498807556 + 1543546944 = 22334^2 + 39288^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2048002 + ... + 2048998.

It is an arithmetic number, because the mean of its divisors is an integer number (49450401).

Almost surely, 2^2042354500 is an apocalyptic number.

2042354500 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 2042354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373619248).

2042354500 is an abundant number, since it is smaller than the sum of its proper divisors (2704883996).

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

2042354500 is a wasteful number, since it uses less digits than its factorization.

2042354500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2042354500 is about 45192.4163992146. The cubic root of 2042354500 is about 1268.7528832633.

Adding to 2042354500 its reverse (54532402), we get a palindrome (2096886902).

The spelling of 2042354500 in words is "two billion, forty-two million, three hundred fifty-four thousand, five hundred".