2475074880 has 560 divisors, whose sum is σ = 9619250256. Its totient is φ = 601620480.

The previous prime is 2475074879. The next prime is 2475074891. The reversal of 2475074880 is 884705742.

2475074880 is a `hidden beast` number, since 24 + 7 + 507 + 48 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63872064 + 2411202816 = 7992^2 + 49104^2 .

It is a super-2 number, since 2×2475074880² = 12251991323214028800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18066172 + ... + 18066308.

Almost surely, 2^2475074880 is an apocalyptic number.

2475074880 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 2475074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809625128).

2475074880 is an abundant number, since it is smaller than the sum of its proper divisors (7144175376).

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

2475074880 is a wasteful number, since it uses less digits than its factorization.

2475074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2475074880 is about 49750.1244219550. The cubic root of 2475074880 is about 1352.6832558282.

The spelling of 2475074880 in words is "two billion, four hundred seventy-five million, seventy-four thousand, eight hundred eighty".