2545405000 has 80 divisors (see below), whose sum is σ = 5981257260. Its totient is φ = 1015200000.

The previous prime is 2545404943. The next prime is 2545405001. The reversal of 2545405000 is 5045452.

It can be written as a sum of positive squares in 10 ways, for example, as 187525636 + 2357879364 = 13694^2 + 48558^2 .

It is a super-2 number, since 2×2545405000² = 12958173228050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2545405001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2704530 + ... + 2705470.

Almost surely, 2^2545405000 is an apocalyptic number.

2545405000 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 2545405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990628630).

2545405000 is an abundant number, since it is smaller than the sum of its proper divisors (3435852260).

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

2545405000 is an equidigital number, since it uses as much as digits as its factorization.

2545405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 2545405000 is about 50452.0068976448. The cubic root of 2545405000 is about 1365.3761033859.

The spelling of 2545405000 in words is "two billion, five hundred forty-five million, four hundred five thousand".