2454686976 has 288 divisors, whose sum is σ = 7770470400. Its totient is φ = 673505280.

The previous prime is 2454686939. The next prime is 2454686987. The reversal of 2454686976 is 6796864542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22520010 + ... + 22520118.

It is an arithmetic number, because the mean of its divisors is an integer number (26980800).

Almost surely, 2^2454686976 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 2454686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885235200).

2454686976 is an abundant number, since it is smaller than the sum of its proper divisors (5315783424).

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

2454686976 is a wasteful number, since it uses less digits than its factorization.

2454686976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The square root of 2454686976 is about 49544.7976683728. The cubic root of 2454686976 is about 1348.9588636618.

The spelling of 2454686976 in words is "two billion, four hundred fifty-four million, six hundred eighty-six thousand, nine hundred seventy-six".