2042754480 has 240 divisors, whose sum is σ = 7569578016. Its totient is φ = 490475520.

The previous prime is 2042754479. The next prime is 2042754523. The reversal of 2042754480 is 844572402.

2042754480 is a `hidden beast` number, since 204 + 2 + 7 + 5 + 448 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381099 + ... + 386421.

Almost surely, 2^2042754480 is an apocalyptic number.

2042754480 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 2042754480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784789008).

2042754480 is an abundant number, since it is smaller than the sum of its proper divisors (5526823536).

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

2042754480 is a wasteful number, since it uses less digits than its factorization.

2042754480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2042754480 is about 45196.8414825638. The cubic root of 2042754480 is about 1268.8357031416.

The spelling of 2042754480 in words is "two billion, forty-two million, seven hundred fifty-four thousand, four hundred eighty".