2546987520 has 640 divisors, whose sum is σ = 10465044480. Its totient is φ = 513146880.

The previous prime is 2546987507. The next prime is 2546987561. The reversal of 2546987520 is 257896452.

2546987520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2546987520.

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, 34890204 + ... + 34890276.

It is an arithmetic number, because the mean of its divisors is an integer number (16351632).

Almost surely, 2^2546987520 is an apocalyptic number.

2546987520 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 2546987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232522240).

2546987520 is an abundant number, since it is smaller than the sum of its proper divisors (7918056960).

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

2546987520 is a wasteful number, since it uses less digits than its factorization.

2546987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 2546987520 is about 50467.6878804647. The cubic root of 2546987520 is about 1365.6590036654.

The spelling of 2546987520 in words is "two billion, five hundred forty-six million, nine hundred eighty-seven thousand, five hundred twenty".