2825127360 has 420 divisors, whose sum is σ = 10848456840. Its totient is φ = 674657280.

The previous prime is 2825127359. The next prime is 2825127373. The reversal of 2825127360 is 637215282.

2825127360 is a `hidden beast` number, since 2 + 82 + 512 + 7 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42166047 + ... + 42166113.

Almost surely, 2^2825127360 is an apocalyptic number.

2825127360 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 2825127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424228420).

2825127360 is an abundant number, since it is smaller than the sum of its proper divisors (8023329480).

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

2825127360 is an equidigital number, since it uses as much as digits as its factorization.

2825127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2825127360 is about 53151.9271522680. The cubic root of 2825127360 is about 1413.6633875740.

It can be divided in two parts, 28251 and 27360, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 2825127360 in words is "two billion, eight hundred twenty-five million, one hundred twenty-seven thousand, three hundred sixty".