2454536485440 has 896 divisors, whose sum is σ = 9574552189440. Its totient is φ = 588238848000.

The previous prime is 2454536485433. The next prime is 2454536485441. The reversal of 2454536485440 is 445846354542.

2454536485440 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 53 + 6 + 48 + 544 + 0 = 666.

It is a super-2 number, since 2×2454536485440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2454536485441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 692001747 + ... + 692005293.

It is an arithmetic number, because the mean of its divisors is an integer number (10685884140).

Almost surely, 2^{2454536485440} is an apocalyptic number.

2454536485440 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 2454536485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787276094720).

2454536485440 is an abundant number, since it is smaller than the sum of its proper divisors (7120015704000).

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

2454536485440 is a wasteful number, since it uses less digits than its factorization.

2454536485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 54.

The spelling of 2454536485440 in words is "two trillion, four hundred fifty-four billion, five hundred thirty-six million, four hundred eighty-five thousand, four hundred forty".