2452455371520 has 1296 divisors, whose sum is σ = 10738793624832. Its totient is φ = 502014689280.

The previous prime is 2452455371503. The next prime is 2452455371537. The reversal of 2452455371520 is 251735542542.

It is a happy number.

2452455371520 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 4 + 5 + 53 + 71 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2452455371503) and next prime (2452455371537).

It is a super-2 number, since 2×2452455371520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5536016419 + ... + 5536016861.

It is an arithmetic number, because the mean of its divisors is an integer number (8286106192).

Almost surely, 2^{2452455371520} is an apocalyptic number.

2452455371520 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 2452455371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369396812416).

2452455371520 is an abundant number, since it is smaller than the sum of its proper divisors (8286338253312).

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

2452455371520 is a wasteful number, since it uses less digits than its factorization.

2452455371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 2452455371520 in words is "two trillion, four hundred fifty-two billion, four hundred fifty-five million, three hundred seventy-one thousand, five hundred twenty".