2545638480 has 960 divisors, whose sum is σ = 11749390848. Its totient is φ = 477757440.

The previous prime is 2545638467. The next prime is 2545638493. The reversal of 2545638480 is 848365452.

2545638480 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 638 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2545638467) and next prime (2545638493).

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 191 ways as a sum of consecutive naturals, for example, 34871724 + ... + 34871796.

Almost surely, 2^2545638480 is an apocalyptic number.

2545638480 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 2545638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874695424).

2545638480 is an abundant number, since it is smaller than the sum of its proper divisors (9203752368).

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

2545638480 is a wasteful number, since it uses less digits than its factorization.

2545638480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2545638480 is about 50454.3207267723. The cubic root of 2545638480 is about 1365.4178489714.

It can be divided in two parts, 25456 and 38480, that added together give a palindrome (63936).

The spelling of 2545638480 in words is "two billion, five hundred forty-five million, six hundred thirty-eight thousand, four hundred eighty".