2453120640 has 320 divisors, whose sum is σ = 8886240000. Its totient is φ = 644806656.

The previous prime is 2453120629. The next prime is 2453120671. The reversal of 2453120640 is 460213542.

2453120640 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 4095061 + ... + 4095659.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 2^2453120640 is an apocalyptic number.

2453120640 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 2453120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443120000).

2453120640 is an abundant number, since it is smaller than the sum of its proper divisors (6433119360).

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

2453120640 is an equidigital number, since it uses as much as digits as its factorization.

2453120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2453120640 is about 49528.9878757885. The cubic root of 2453120640 is about 1348.6718790171.

The spelling of 2453120640 in words is "two billion, four hundred fifty-three million, one hundred twenty thousand, six hundred forty".