2545445146240 has 192 divisors, whose sum is σ = 6329635355160. Its totient is φ = 978801065984.

The previous prime is 2545445146201. The next prime is 2545445146243. The reversal of 2545445146240 is 426415445452.

It can be written as a sum of positive squares in 12 ways, for example, as 77957107264 + 2467488038976 = 279208^2 + 1570824^2 .

It is a super-2 number, since 2×2545445146240² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2545445146243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125399772 + ... + 125420068.

Almost surely, 2^{2545445146240} is an apocalyptic number.

2545445146240 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 2545445146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164817677580).

2545445146240 is an abundant number, since it is smaller than the sum of its proper divisors (3784190208920).

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

2545445146240 is a wasteful number, since it uses less digits than its factorization.

2545445146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607 (or 20566 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 46.

The spelling of 2545445146240 in words is "two trillion, five hundred forty-five billion, four hundred forty-five million, one hundred forty-six thousand, two hundred forty".