2536255440 has 120 divisors (see below), whose sum is σ = 8602170408. Its totient is φ = 669619200.

The previous prime is 2536255439. The next prime is 2536255487. The reversal of 2536255440 is 445526352.

2536255440 is a `hidden beast` number, since 2 + 5 + 3 + 62 + 554 + 40 = 666.

2536255440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1200206736 + 1336048704 = 34644^2 + 36552^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2536255395 and 2536255404.

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, 55282 + ... + 90158.

Almost surely, 2^2536255440 is an apocalyptic number.

2536255440 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 2536255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301085204).

2536255440 is an abundant number, since it is smaller than the sum of its proper divisors (6065914968).

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

2536255440 is a wasteful number, since it uses less digits than its factorization.

2536255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34997 (or 34988 counting only the distinct ones).

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

The square root of 2536255440 is about 50361.2493887910. The cubic root of 2536255440 is about 1363.7381729563.

The spelling of 2536255440 in words is "two billion, five hundred thirty-six million, two hundred fifty-five thousand, four hundred forty".