2534442480 has 160 divisors (see below), whose sum is σ = 8799436800. Its totient is φ = 670457088.

The previous prime is 2534442451. The next prime is 2534442497. The reversal of 2534442480 is 842444352.

2534442480 is a `hidden beast` number, since 2 + 534 + 4 + 42 + 4 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 269701 + ... + 278939.

It is an arithmetic number, because the mean of its divisors is an integer number (54996480).

Almost surely, 2^2534442480 is an apocalyptic number.

2534442480 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 2534442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2534442480 is an abundant number, since it is smaller than the sum of its proper divisors (6264994320).

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

2534442480 is a wasteful number, since it uses less digits than its factorization.

2534442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 2534442480 is about 50343.2466175951. The cubic root of 2534442480 is about 1363.4131541564.

The spelling of 2534442480 in words is "two billion, five hundred thirty-four million, four hundred forty-two thousand, four hundred eighty".