2825601480 has 96 divisors (see below), whose sum is σ = 9889621560. Its totient is φ = 695531520.

The previous prime is 2825601479. The next prime is 2825601481. The reversal of 2825601480 is 841065282.

2825601480 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 601 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2825601479) and next prime (2825601481).

It can be written as a sum of positive squares in 4 ways, for example, as 2514220164 + 311381316 = 50142^2 + 17646^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2825601481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297201 + ... + 306560.

Almost surely, 2^2825601480 is an apocalyptic number.

2825601480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825601480 is an abundant number, since it is smaller than the sum of its proper divisors (7064020080).

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

2825601480 is a wasteful number, since it uses less digits than its factorization.

2825601480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603791 (or 603784 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2825601480 is about 53156.3870104054. The cubic root of 2825601480 is about 1413.7424646691.

The spelling of 2825601480 in words is "two billion, eight hundred twenty-five million, six hundred one thousand, four hundred eighty".