2549904820 has 24 divisors (see below), whose sum is σ = 5355751464. Its totient is φ = 1019780736.

The previous prime is 2549904811. The next prime is 2549904829. The reversal of 2549904820 is 284099452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2549904811) and next prime (2549904829).

It can be written as a sum of positive squares in 4 ways, for example, as 1195223184 + 1354681636 = 34572^2 + 36806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549904829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202962 + ... + 215158.

It is an arithmetic number, because the mean of its divisors is an integer number (223156311).

Almost surely, 2^2549904820 is an apocalyptic number.

2549904820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2549904820 is an abundant number, since it is smaller than the sum of its proper divisors (2805846644).

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

2549904820 is a wasteful number, since it uses less digits than its factorization.

2549904820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22659 (or 22657 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 2549904820 is about 50496.5822605847. The cubic root of 2549904820 is about 1366.1802098422.

The spelling of 2549904820 in words is "two billion, five hundred forty-nine million, nine hundred four thousand, eight hundred twenty".