2042632980 has 144 divisors (see below), whose sum is σ = 6439305600. Its totient is φ = 523488000.

The previous prime is 2042632979. The next prime is 2042633003. The reversal of 2042632980 is 892362402.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309441 + ... + 1310999.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^2042632980 is an apocalyptic number.

2042632980 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 2042632980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

2042632980 is an abundant number, since it is smaller than the sum of its proper divisors (4396672620).

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

2042632980 is a wasteful number, since it uses less digits than its factorization.

2042632980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2042632980 is about 45195.4973421026. The cubic root of 2042632980 is about 1268.8105464890.

The spelling of 2042632980 in words is "two billion, forty-two million, six hundred thirty-two thousand, nine hundred eighty".