2780512500 has 144 divisors (see below), whose sum is σ = 8268220800. Its totient is φ = 726960000.

The previous prime is 2780512477. The next prime is 2780512507. The reversal of 2780512500 is 52150872.

2780512500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780512507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986801 + ... + 1988199.

It is an arithmetic number, because the mean of its divisors is an integer number (57418200).

Almost surely, 2^2780512500 is an apocalyptic number.

2780512500 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 2780512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134110400).

2780512500 is an abundant number, since it is smaller than the sum of its proper divisors (5487708300).

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

2780512500 is a wasteful number, since it uses less digits than its factorization.

2780512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 2780512500 is about 52730.5651401538. The cubic root of 2780512500 is about 1406.1822683427.

The spelling of 2780512500 in words is "two billion, seven hundred eighty million, five hundred twelve thousand, five hundred".