2452405505440 has 96 divisors (see below), whose sum is σ = 6320856560256. Its totient is φ = 891736028160.

The previous prime is 2452405505437. The next prime is 2452405505453. The reversal of 2452405505440 is 445055042542.

2452405505440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2452405505440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2452405505393 and 2452405505402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64208589 + ... + 64246771.

It is an arithmetic number, because the mean of its divisors is an integer number (65842255836).

Almost surely, 2^{2452405505440} is an apocalyptic number.

2452405505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2452405505440 is an abundant number, since it is smaller than the sum of its proper divisors (3868451054816).

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

2452405505440 is a wasteful number, since it uses less digits than its factorization.

2452405505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74702 (or 74694 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 2452405505440 in words is "two trillion, four hundred fifty-two billion, four hundred five million, five hundred five thousand, four hundred forty".