2464087500 has 432 divisors, whose sum is σ = 9350964000. Its totient is φ = 559440000.

The previous prime is 2464087489. The next prime is 2464087519. The reversal of 2464087500 is 57804642.

2464087500 is a `hidden beast` number, since 2 + 4 + 640 + 8 + 7 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16537426 + ... + 16537574.

It is an arithmetic number, because the mean of its divisors is an integer number (21645750).

Almost surely, 2^2464087500 is an apocalyptic number.

2464087500 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 2464087500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675482000).

2464087500 is an abundant number, since it is smaller than the sum of its proper divisors (6886876500).

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

2464087500 is a wasteful number, since it uses less digits than its factorization.

2464087500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2464087500 is about 49639.5759450058. The cubic root of 2464087500 is about 1350.6786711074.

The spelling of 2464087500 in words is "two billion, four hundred sixty-four million, eighty-seven thousand, five hundred".