2810255040 has 672 divisors, whose sum is σ = 11287719360. Its totient is φ = 655589376.

The previous prime is 2810255033. The next prime is 2810255053. The reversal of 2810255040 is 405520182.

It is a happy number.

2810255040 is a `hidden beast` number, since 2 + 8 + 102 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2810254995 and 2810255013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53023654 + ... + 53023706.

Almost surely, 2^2810255040 is an apocalyptic number.

2810255040 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 2810255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643859680).

2810255040 is an abundant number, since it is smaller than the sum of its proper divisors (8477464320).

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

2810255040 is a wasteful number, since it uses less digits than its factorization.

2810255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2810255040 is about 53011.8386777897. The cubic root of 2810255040 is about 1411.1783721059.

The spelling of 2810255040 in words is "two billion, eight hundred ten million, two hundred fifty-five thousand, forty".