2449675800 has 576 divisors, whose sum is σ = 10009359360. Its totient is φ = 528768000.

The previous prime is 2449675793. The next prime is 2449675807. The reversal of 2449675800 is 85769442.

It is a happy number.

2449675800 is a `hidden beast` number, since 2 + 4 + 4 + 9 + 67 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2449675793) and next prime (2449675807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449675807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7979247 + ... + 7979553.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 2^2449675800 is an apocalyptic number.

2449675800 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 2449675800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004679680).

2449675800 is an abundant number, since it is smaller than the sum of its proper divisors (7559683560).

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

2449675800 is a wasteful number, since it uses less digits than its factorization.

2449675800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2449675800 is about 49494.1996601622. The cubic root of 2449675800 is about 1348.0402841439.

The spelling of 2449675800 in words is "two billion, four hundred forty-nine million, six hundred seventy-five thousand, eight hundred".