2453053680 has 800 divisors, whose sum is σ = 11003224320. Its totient is φ = 497871360.

The previous prime is 2453053663. The next prime is 2453053699. The reversal of 2453053680 is 863503542.

It is a happy number.

2453053680 is a `hidden beast` number, since 2 + 45 + 3 + 0 + 536 + 80 = 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 159 ways as a sum of consecutive naturals, for example, 57047739 + ... + 57047781.

Almost surely, 2^2453053680 is an apocalyptic number.

2453053680 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 2453053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501612160).

2453053680 is an abundant number, since it is smaller than the sum of its proper divisors (8550170640).

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

2453053680 is a wasteful number, since it uses less digits than its factorization.

2453053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2453053680 is about 49528.3119033952. The cubic root of 2453053680 is about 1348.6596078594.

It can be divided in two parts, 24530 and 53680, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 2453053680 in words is "two billion, four hundred fifty-three million, fifty-three thousand, six hundred eighty".