2451584960 has 224 divisors, whose sum is σ = 6879287232. Its totient is φ = 822149120.

The previous prime is 2451584957. The next prime is 2451584983. The reversal of 2451584960 is 694851542.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171134 + ... + 3171906.

Almost surely, 2^2451584960 is an apocalyptic number.

2451584960 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 2451584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439643616).

2451584960 is an abundant number, since it is smaller than the sum of its proper divisors (4427702272).

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

2451584960 is a wasteful number, since it uses less digits than its factorization.

2451584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 2451584960 is about 49513.4826082755. The cubic root of 2451584960 is about 1348.3903925531.

The spelling of 2451584960 in words is "two billion, four hundred fifty-one million, five hundred eighty-four thousand, nine hundred sixty".