2452005525040 has 160 divisors (see below), whose sum is σ = 6169828320000. Its totient is φ = 902714621952.

The previous prime is 2452005525037. The next prime is 2452005525041. The reversal of 2452005525040 is 405255002542.

2452005525040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2452005524987 and 2452005525005.

It is not an unprimeable number, because it can be changed into a prime (2452005525041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79820724 + ... + 79851436.

It is an arithmetic number, because the mean of its divisors is an integer number (38561427000).

Almost surely, 2^{2452005525040} is an apocalyptic number.

2452005525040 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 2452005525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084914160000).

2452005525040 is an abundant number, since it is smaller than the sum of its proper divisors (3717822794960).

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

2452005525040 is a wasteful number, since it uses less digits than its factorization.

2452005525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32039 (or 32033 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 34.

The spelling of 2452005525040 in words is "two trillion, four hundred fifty-two billion, five million, five hundred twenty-five thousand, forty".