2087875440 has 480 divisors, whose sum is σ = 8471124480. Its totient is φ = 468052992.

The previous prime is 2087875429. The next prime is 2087875457. The reversal of 2087875440 is 445787802.

2087875440 is a `hidden beast` number, since 20 + 8 + 7 + 87 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9117246 + ... + 9117474.

It is an arithmetic number, because the mean of its divisors is an integer number (17648176).

Almost surely, 2^2087875440 is an apocalyptic number.

2087875440 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 2087875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235562240).

2087875440 is an abundant number, since it is smaller than the sum of its proper divisors (6383249040).

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

2087875440 is a wasteful number, since it uses less digits than its factorization.

2087875440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2087875440 is about 45693.2756540828. The cubic root of 2087875440 is about 1278.1098893804.

The spelling of 2087875440 in words is "two billion, eighty-seven million, eight hundred seventy-five thousand, four hundred forty".