2451328992 has 288 divisors, whose sum is σ = 8347981824. Its totient is φ = 667699200.

The previous prime is 2451328987. The next prime is 2451329021. The reversal of 2451328992 is 2998231542.

2451328992 is a `hidden beast` number, since 2 + 451 + 32 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3884517 + ... + 3885147.

It is an arithmetic number, because the mean of its divisors is an integer number (28986048).

Almost surely, 2^2451328992 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 2451328992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173990912).

2451328992 is an abundant number, since it is smaller than the sum of its proper divisors (5896652832).

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

2451328992 is a wasteful number, since it uses less digits than its factorization.

2451328992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2451328992 is about 49510.8977094942. The cubic root of 2451328992 is about 1348.3434628035.

The spelling of 2451328992 in words is "two billion, four hundred fifty-one million, three hundred twenty-eight thousand, nine hundred ninety-two".