2535081244920 has 480 divisors, whose sum is σ = 10277461893600. Its totient is φ = 548948150784.

The previous prime is 2535081244919. The next prime is 2535081244931. The reversal of 2535081244920 is 294421805352.

2535081244920 is a `hidden beast` number, since 2 + 5 + 3 + 508 + 12 + 44 + 92 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8032666 + ... + 8342294.

It is an arithmetic number, because the mean of its divisors is an integer number (21411378945).

Almost surely, 2^{2535081244920} is an apocalyptic number.

2535081244920 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 2535081244920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138730946800).

2535081244920 is an abundant number, since it is smaller than the sum of its proper divisors (7742380648680).

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

2535081244920 is a wasteful number, since it uses less digits than its factorization.

2535081244920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309697 (or 309665 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2535081244920 in words is "two trillion, five hundred thirty-five billion, eighty-one million, two hundred forty-four thousand, nine hundred twenty".