2549894760 has 192 divisors, whose sum is σ = 9672998400. Its totient is φ = 570405888.

The previous prime is 2549894741. The next prime is 2549894761. The reversal of 2549894760 is 674989452.

2549894760 is a `hidden beast` number, since 2 + 5 + 498 + 94 + 7 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2549894697 and 2549894706.

It is not an unprimeable number, because it can be changed into a prime (2549894761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107676 + ... + 129204.

It is an arithmetic number, because the mean of its divisors is an integer number (50380200).

Almost surely, 2^2549894760 is an apocalyptic number.

2549894760 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 2549894760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836499200).

2549894760 is an abundant number, since it is smaller than the sum of its proper divisors (7123103640).

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

2549894760 is a wasteful number, since it uses less digits than its factorization.

2549894760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600 (or 21593 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2549894760 is about 50496.4826497846. The cubic root of 2549894760 is about 1366.1784132012.

The spelling of 2549894760 in words is "two billion, five hundred forty-nine million, eight hundred ninety-four thousand, seven hundred sixty".