2451138480 has 240 divisors, whose sum is σ = 9568316160. Its totient is φ = 550697472.

The previous prime is 2451138457. The next prime is 2451138517. The reversal of 2451138480 is 848311542.

2451138480 is a `hidden beast` number, since 2 + 45 + 1 + 138 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 293239 + ... + 301481.

It is an arithmetic number, because the mean of its divisors is an integer number (39867984).

Almost surely, 2^2451138480 is an apocalyptic number.

2451138480 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 2451138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784158080).

2451138480 is an abundant number, since it is smaller than the sum of its proper divisors (7117177680).

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

2451138480 is a wasteful number, since it uses less digits than its factorization.

2451138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2451138480 is about 49508.9737320417. The cubic root of 2451138480 is about 1348.3085317837.

The spelling of 2451138480 in words is "two billion, four hundred fifty-one million, one hundred thirty-eight thousand, four hundred eighty".