2549730240 has 168 divisors, whose sum is σ = 8827434720. Its totient is φ = 675477504.

The previous prime is 2549730217. The next prime is 2549730241. The reversal of 2549730240 is 420379452.

2549730240 is a `hidden beast` number, since 2 + 549 + 73 + 0 + 2 + 40 = 666.

It is a super-2 number, since 2×2549730240² = 13002248593540915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2549730195 and 2549730204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549730241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449341 + ... + 454979.

Almost surely, 2^2549730240 is an apocalyptic number.

2549730240 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 2549730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413717360).

2549730240 is an abundant number, since it is smaller than the sum of its proper divisors (6277704480).

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

2549730240 is a wasteful number, since it uses less digits than its factorization.

2549730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2549730240 is about 50494.8535991540. The cubic root of 2549730240 is about 1366.1490304844.

The spelling of 2549730240 in words is "two billion, five hundred forty-nine million, seven hundred thirty thousand, two hundred forty".