2452954752 has 192 divisors, whose sum is σ = 7752326400. Its totient is φ = 769388544.

The previous prime is 2452954741. The next prime is 2452954771. The reversal of 2452954752 is 2574592542.

2452954752 is a `hidden beast` number, since 2 + 4 + 52 + 9 + 547 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2452954698 and 2452954707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526449 + ... + 531087.

It is an arithmetic number, because the mean of its divisors is an integer number (40376700).

Almost surely, 2^2452954752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876163200).

2452954752 is an abundant number, since it is smaller than the sum of its proper divisors (5299371648).

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

2452954752 is an equidigital number, since it uses as much as digits as its factorization.

2452954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4661 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2452954752 is about 49527.3131918137. The cubic root of 2452954752 is about 1348.6414778048.

It can be divided in two parts, 245295 and 4752, that added together give a cube (250047 = 63³).

The spelling of 2452954752 in words is "two billion, four hundred fifty-two million, nine hundred fifty-four thousand, seven hundred fifty-two".