2787498960 has 80 divisors (see below), whose sum is σ = 8804329344. Its totient is φ = 729304576.

The previous prime is 2787498929. The next prime is 2787498971. The reversal of 2787498960 is 698947872.

2787498960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2787498894 and 2787498903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96852 + ... + 122291.

Almost surely, 2^2787498960 is an apocalyptic number.

2787498960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2787498960 is an abundant number, since it is smaller than the sum of its proper divisors (6016830384).

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

2787498960 is a wasteful number, since it uses less digits than its factorization.

2787498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219212 (or 219206 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The square root of 2787498960 is about 52796.7703557708. The cubic root of 2787498960 is about 1407.3590321398.

The spelling of 2787498960 in words is "two billion, seven hundred eighty-seven million, four hundred ninety-eight thousand, nine hundred sixty".