2452356000000 has 1323 divisors, whose sum is σ = 9501314573023. Its totient is φ = 631411200000.

The previous prime is 2452355999987. The next prime is 2452356000001. The reversal of 2452356000000 is 6532542.

The square root of 2452356000000 is 1566000.

It is a perfect power (a square), and thus also a powerful number.

2452356000000 is a `hidden beast` number, since 2 + 4 + 52 + 3 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2078164429056 + 374191570944 = 1441584^2 + 611712^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2452356000001) by changing a digit.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 84563999986 + ... + 84564000014.

Almost surely, 2^{2452356000000} is an apocalyptic number.

2452356000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2452356000000 is the 1566000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452356000000

2452356000000 is an abundant number, since it is smaller than the sum of its proper divisors (7048958573023).

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

2452356000000 is an frugal number, since it uses more digits than its factorization.

2452356000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2452356000000 in words is "two trillion, four hundred fifty-two billion, three hundred fifty-six million", and thus it is an aban number.