2549292480 has 448 divisors, whose sum is σ = 10461711360. Its totient is φ = 572313600.

The previous prime is 2549292437. The next prime is 2549292517. The reversal of 2549292480 is 842929452.

2549292480 is a `hidden beast` number, since 2 + 549 + 2 + 9 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3688935 + ... + 3689625.

Almost surely, 2^2549292480 is an apocalyptic number.

2549292480 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 2549292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230855680).

2549292480 is an abundant number, since it is smaller than the sum of its proper divisors (7912418880).

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

2549292480 is a wasteful number, since it uses less digits than its factorization.

2549292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2549292480 is about 50490.5187139130. The cubic root of 2549292480 is about 1366.0708418694.

The spelling of 2549292480 in words is "two billion, five hundred forty-nine million, two hundred ninety-two thousand, four hundred eighty".