2452461624 has 80 divisors (see below), whose sum is σ = 6891409800. Its totient is φ = 814840128.

The previous prime is 2452461619. The next prime is 2452461653. The reversal of 2452461624 is 4261642542.

2452461624 is a `hidden beast` number, since 2 + 4 + 5 + 24 + 6 + 1 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199447 + ... + 211385.

Almost surely, 2^2452461624 is an apocalyptic number.

2452461624 is a gapful number since it is divisible by the number (24) 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 2452461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445704900).

2452461624 is an abundant number, since it is smaller than the sum of its proper divisors (4438948176).

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

2452461624 is a wasteful number, since it uses less digits than its factorization.

2452461624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12274 (or 12261 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2452461624 is about 49522.3345976338. The cubic root of 2452461624 is about 1348.5510973572.

The spelling of 2452461624 in words is "two billion, four hundred fifty-two million, four hundred sixty-one thousand, six hundred twenty-four".