2453742720 has 640 divisors, whose sum is σ = 10325810880. Its totient is φ = 547430400.

The previous prime is 2453742691. The next prime is 2453742761. The reversal of 2453742720 is 272473542.

It is a happy number.

2453742720 is a `hidden beast` number, since 245 + 374 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7412955 + ... + 7413285.

Almost surely, 2^2453742720 is an apocalyptic number.

2453742720 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 2453742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162905440).

2453742720 is an abundant number, since it is smaller than the sum of its proper divisors (7872068160).

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

2453742720 is a wasteful number, since it uses less digits than its factorization.

2453742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2453742720 is about 49535.2674364437. The cubic root of 2453742720 is about 1348.7858713582.

The spelling of 2453742720 in words is "two billion, four hundred fifty-three million, seven hundred forty-two thousand, seven hundred twenty".