2549809152 has 272 divisors, whose sum is σ = 8304658560. Its totient is φ = 766771200.

The previous prime is 2549809133. The next prime is 2549809159. The reversal of 2549809152 is 2519089452.

It is a happy number.

2549809152 is a `hidden beast` number, since 2 + 5 + 498 + 0 + 9 + 152 = 666.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2549809098 and 2549809107.

It is not an unprimeable number, because it can be changed into a prime (2549809159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464127 + ... + 19464257.

Almost surely, 2^2549809152 is an apocalyptic number.

2549809152 is a gapful number since it is divisible by the number (22) 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 2549809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152329280).

2549809152 is an abundant number, since it is smaller than the sum of its proper divisors (5754849408).

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

2549809152 is an equidigital number, since it uses as much as digits as its factorization.

2549809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2549809152 is about 50495.6349796693. The cubic root of 2549809152 is about 1366.1631240590.

The spelling of 2549809152 in words is "two billion, five hundred forty-nine million, eight hundred nine thousand, one hundred fifty-two".