2475200 has 168 divisors, whose sum is σ = 7936992. Its totient is φ = 737280.

The previous prime is 2475199. The next prime is 2475223. The reversal of 2475200 is 25742.

It is a super-2 number, since 2×2475200² = 12253230080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145592 + ... + 145608.

It is an arithmetic number, because the mean of its divisors is an integer number (47244).

2^2475200 is an apocalyptic number.

2475200 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 2475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968496).

2475200 is an abundant number, since it is smaller than the sum of its proper divisors (5461792).

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

2475200 is a wasteful number, since it uses less digits than its factorization.

2475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2475200 is about 1573.2768351438. The cubic root of 2475200 is about 135.2706049061.

The spelling of 2475200 in words is "two million, four hundred seventy-five thousand, two hundred".