2475776160 has 432 divisors, whose sum is σ = 10009955592. Its totient is φ = 553512960.

The previous prime is 2475776141. The next prime is 2475776167. The reversal of 2475776160 is 616775742.

2475776160 is a `hidden beast` number, since 24 + 7 + 5 + 7 + 7 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2220671376 + 255104784 = 47124^2 + 15972^2 .

It is a super-2 number, since 2×2475776160² = 12258935188848691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2475776167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2264574 + ... + 2265666.

Almost surely, 2^2475776160 is an apocalyptic number.

2475776160 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 2475776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004977796).

2475776160 is an abundant number, since it is smaller than the sum of its proper divisors (7534179432).

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

2475776160 is a wasteful number, since it uses less digits than its factorization.

2475776160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2475776160 is about 49757.1719453588. The cubic root of 2475776160 is about 1352.8109987830.

The spelling of 2475776160 in words is "two billion, four hundred seventy-five million, seven hundred seventy-six thousand, one hundred sixty".