2825564280 has 512 divisors, whose sum is σ = 11048140800. Its totient is φ = 561254400.

The previous prime is 2825564263. The next prime is 2825564281. The reversal of 2825564280 is 824655282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825564281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38706324 + ... + 38706396.

It is an arithmetic number, because the mean of its divisors is an integer number (21578400).

Almost surely, 2^2825564280 is an apocalyptic number.

2825564280 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 2825564280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524070400).

2825564280 is an abundant number, since it is smaller than the sum of its proper divisors (8222576520).

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

2825564280 is a wasteful number, since it uses less digits than its factorization.

2825564280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 2825564280 is about 53156.0370983391. The cubic root of 2825564280 is about 1413.7362605092.

The spelling of 2825564280 in words is "two billion, eight hundred twenty-five million, five hundred sixty-four thousand, two hundred eighty".