2509678080 has 1200 divisors, whose sum is σ = 11853460080. Its totient is φ = 501645312.

The previous prime is 2509678063. The next prime is 2509678111. The reversal of 2509678080 is 808769052.

2509678080 is a `hidden beast` number, since 2 + 509 + 67 + 8 + 0 + 80 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132088311 + ... + 132088329.

Almost surely, 2^2509678080 is an apocalyptic number.

2509678080 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 2509678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926730040).

2509678080 is an abundant number, since it is smaller than the sum of its proper divisors (9343782000).

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

2509678080 is a wasteful number, since it uses less digits than its factorization.

2509678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2509678080 is about 50096.6873156300. The cubic root of 2509678080 is about 1358.9579098992.

The spelling of 2509678080 in words is "two billion, five hundred nine million, six hundred seventy-eight thousand, eighty".