2549006280 has 256 divisors, whose sum is σ = 8973504000. Its totient is φ = 642318336.

The previous prime is 2549006269. The next prime is 2549006297. The reversal of 2549006280 is 826009452.

It is a happy number.

2549006280 is a `hidden beast` number, since 25 + 4 + 9 + 0 + 0 + 628 + 0 = 666.

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

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, 2210184 + ... + 2211336.

It is an arithmetic number, because the mean of its divisors is an integer number (35052750).

Almost surely, 2^2549006280 is an apocalyptic number.

2549006280 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 2549006280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486752000).

2549006280 is an abundant number, since it is smaller than the sum of its proper divisors (6424497720).

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

2549006280 is a wasteful number, since it uses less digits than its factorization.

2549006280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2549006280 is about 50487.6844388807. The cubic root of 2549006280 is about 1366.0197186512.

The spelling of 2549006280 in words is "two billion, five hundred forty-nine million, six thousand, two hundred eighty".