2452416640 has 128 divisors (see below), whose sum is σ = 6323184000. Its totient is φ = 906485760.

The previous prime is 2452416623. The next prime is 2452416667. The reversal of 2452416640 is 466142542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2452416640² = 12028694752297779200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2452416596 and 2452416605.

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 15 ways as a sum of consecutive naturals, for example, 496101 + ... + 501019.

It is an arithmetic number, because the mean of its divisors is an integer number (49399875).

Almost surely, 2^2452416640 is an apocalyptic number.

2452416640 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 2452416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161592000).

2452416640 is an abundant number, since it is smaller than the sum of its proper divisors (3870767360).

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

2452416640 is a wasteful number, since it uses less digits than its factorization.

2452416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2452416640 is about 49521.8804166401. The cubic root of 2452416640 is about 1348.5428520914.

The spelling of 2452416640 in words is "two billion, four hundred fifty-two million, four hundred sixteen thousand, six hundred forty".