2451062016 has 432 divisors, whose sum is σ = 8258577600. Its totient is φ = 692748288.

The previous prime is 2451062011. The next prime is 2451062059. The reversal of 2451062016 is 6102601542.

2451062016 is a `hidden beast` number, since 2 + 451 + 0 + 6 + 201 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451062011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33576156 + ... + 33576228.

Almost surely, 2^2451062016 is an apocalyptic number.

2451062016 is a gapful number since it is divisible by the number (26) 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 2451062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129288800).

2451062016 is an abundant number, since it is smaller than the sum of its proper divisors (5807515584).

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

2451062016 is a wasteful number, since it uses less digits than its factorization.

2451062016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2451062016 is about 49508.2015023774. The cubic root of 2451062016 is about 1348.2945113415.

Adding to 2451062016 its reverse (6102601542), we get a palindrome (8553663558).

The spelling of 2451062016 in words is "two billion, four hundred fifty-one million, sixty-two thousand, sixteen".