2549984976 has 600 divisors, whose sum is σ = 9770124672. Its totient is φ = 627264000.

The previous prime is 2549984971. The next prime is 2549985029. The reversal of 2549984976 is 6794899452.

2549984976 is a `hidden beast` number, since 2 + 54 + 9 + 98 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549984971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25247326 + ... + 25247426.

Almost surely, 2^2549984976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549984976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885062336).

2549984976 is an abundant number, since it is smaller than the sum of its proper divisors (7220139696).

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

2549984976 is a wasteful number, since it uses less digits than its factorization.

2549984976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 2549984976 is about 50497.3759318244. The cubic root of 2549984976 is about 1366.1945249378.

It can be divided in two parts, 25 and 49984976, that added together give a triangular number (49985001 = T₉₉₉₈).

The spelling of 2549984976 in words is "two billion, five hundred forty-nine million, nine hundred eighty-four thousand, nine hundred seventy-six".