2528477130240 has 1080 divisors, whose sum is σ = 9470148213240. Its totient is φ = 647373275136.

The previous prime is 2528477130199. The next prime is 2528477130329. The reversal of 2528477130240 is 420317748252.

2528477130240 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 477 + 130 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14125570471 + ... + 14125570649.

It is an arithmetic number, because the mean of its divisors is an integer number (8768655753).

Almost surely, 2^{2528477130240} is an apocalyptic number.

2528477130240 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 2528477130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735074106620).

2528477130240 is an abundant number, since it is smaller than the sum of its proper divisors (6941671083000).

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

2528477130240 is an frugal number, since it uses more digits than its factorization.

2528477130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2528477130240 in words is "two trillion, five hundred twenty-eight billion, four hundred seventy-seven million, one hundred thirty thousand, two hundred forty".