2873532480 has 672 divisors, whose sum is σ = 11830726656. Its totient is φ = 585252864.

The previous prime is 2873532479. The next prime is 2873532509. The reversal of 2873532480 is 842353782.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2873532480² = 16514377827229900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22626177 + ... + 22626303.

It is an arithmetic number, because the mean of its divisors is an integer number (17605248).

Almost surely, 2^2873532480 is an apocalyptic number.

2873532480 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 2873532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915363328).

2873532480 is an abundant number, since it is smaller than the sum of its proper divisors (8957194176).

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

2873532480 is a wasteful number, since it uses less digits than its factorization.

2873532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2873532480 is about 53605.3400325005. The cubic root of 2873532480 is about 1421.6915106812.

The spelling of 2873532480 in words is "two billion, eight hundred seventy-three million, five hundred thirty-two thousand, four hundred eighty".