2528787824640 has 1536 divisors, whose sum is σ = 11596411008000. Its totient is φ = 507343011840.

The previous prime is 2528787824639. The next prime is 2528787824659. The reversal of 2528787824640 is 464287878252.

2528787824640 is a `hidden beast` number, since 2 + 5 + 28 + 78 + 7 + 82 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×2528787824640³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87199580146 + ... + 87199580174.

It is an arithmetic number, because the mean of its divisors is an integer number (7549746750).

Almost surely, 2^{2528787824640} is an apocalyptic number.

2528787824640 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 2528787824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798205504000).

2528787824640 is an abundant number, since it is smaller than the sum of its proper divisors (9067623183360).

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

2528787824640 is an frugal number, since it uses more digits than its factorization.

2528787824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 2528787824640 in words is "two trillion, five hundred twenty-eight billion, seven hundred eighty-seven million, eight hundred twenty-four thousand, six hundred forty".