2549838720 has 512 divisors, whose sum is σ = 9845660160. Its totient is φ = 552960000.

The previous prime is 2549838677. The next prime is 2549838737. The reversal of 2549838720 is 278389452.

It is a super-2 number, since 2×2549838720² = 13003354996022476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2549838720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10158595 + ... + 10158845.

It is an arithmetic number, because the mean of its divisors is an integer number (19229805).

Almost surely, 2^2549838720 is an apocalyptic number.

2549838720 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 2549838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922830080).

2549838720 is an abundant number, since it is smaller than the sum of its proper divisors (7295821440).

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

2549838720 is a wasteful number, since it uses less digits than its factorization.

2549838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2549838720 is about 50495.9277566023. The cubic root of 2549838720 is about 1366.1684047883.

The spelling of 2549838720 in words is "two billion, five hundred forty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".