2587253760 has 528 divisors, whose sum is σ = 11051441856. Its totient is φ = 544997376.

The previous prime is 2587253759. The next prime is 2587253761. The reversal of 2587253760 is 673527852.

2587253760 is a `hidden beast` number, since 2 + 58 + 7 + 2 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2587253759) and next prime (2587253761).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587253761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192972 + ... + 4193588.

Almost surely, 2^2587253760 is an apocalyptic number.

2587253760 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 2587253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525720928).

2587253760 is an abundant number, since it is smaller than the sum of its proper divisors (8464188096).

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

2587253760 is a wasteful number, since it uses less digits than its factorization.

2587253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2587253760 is about 50865.0544086999. The cubic root of 2587253760 is about 1372.8181391966.

The spelling of 2587253760 in words is "two billion, five hundred eighty-seven million, two hundred fifty-three thousand, seven hundred sixty".