2552041440 has 144 divisors (see below), whose sum is σ = 9378821088. Its totient is φ = 628190208.

The previous prime is 2552041439. The next prime is 2552041469. The reversal of 2552041440 is 441402552.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2552041440² = 13025831022954547200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49444 + ... + 86883.

It is an arithmetic number, because the mean of its divisors is an integer number (65130702).

Almost surely, 2^2552041440 is an apocalyptic number.

2552041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552041440 is an abundant number, since it is smaller than the sum of its proper divisors (6826779648).

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

2552041440 is a wasteful number, since it uses less digits than its factorization.

2552041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136361 (or 136350 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2552041440 is about 50517.7339159230. The cubic root of 2552041440 is about 1366.5616872235.

Adding to 2552041440 its reverse (441402552), we get a palindrome (2993443992).

The spelling of 2552041440 in words is "two billion, five hundred fifty-two million, forty-one thousand, four hundred forty".