2545513344 has 128 divisors (see below), whose sum is σ = 8195904000. Its totient is φ = 771356160.

The previous prime is 2545513303. The next prime is 2545513349. The reversal of 2545513344 is 4433155452.

2545513344 is a `hidden beast` number, since 254 + 55 + 13 + 344 = 666.

2545513344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2545513299 and 2545513308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545513349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4537 + ... + 71495.

It is an arithmetic number, because the mean of its divisors is an integer number (64030500).

Almost surely, 2^2545513344 is an apocalyptic number.

2545513344 is a gapful number since it is divisible by the number (24) 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 2545513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097952000).

2545513344 is an abundant number, since it is smaller than the sum of its proper divisors (5650390656).

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

2545513344 is a wasteful number, since it uses less digits than its factorization.

2545513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66993 (or 66975 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 2545513344 is about 50453.0806195221. The cubic root of 2545513344 is about 1365.3954753143.

Adding to 2545513344 its reverse (4433155452), we get a palindrome (6978668796).

The spelling of 2545513344 in words is "two billion, five hundred forty-five million, five hundred thirteen thousand, three hundred forty-four".