2487936000 has 704 divisors, whose sum is σ = 9809879040. Its totient is φ = 552960000.

The previous prime is 2487935977. The next prime is 2487936001. The reversal of 2487936000 is 6397842.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 2487936000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487936001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80255985 + ... + 80256015.

Almost surely, 2^2487936000 is an apocalyptic number.

2487936000 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 2487936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904939520).

2487936000 is an abundant number, since it is smaller than the sum of its proper divisors (7321943040).

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

2487936000 is a wasteful number, since it uses less digits than its factorization.

2487936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2487936000 is about 49879.2141076822. The cubic root of 2487936000 is about 1355.0221716301.

The spelling of 2487936000 in words is "two billion, four hundred eighty-seven million, nine hundred thirty-six thousand".