2546718720 has 384 divisors, whose sum is σ = 10038712320. Its totient is φ = 536739840.

The previous prime is 2546718719. The next prime is 2546718761. The reversal of 2546718720 is 278176452.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795065 + ... + 2795975.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^2546718720 is an apocalyptic number.

2546718720 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 2546718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2546718720 is an abundant number, since it is smaller than the sum of its proper divisors (7491993600).

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

2546718720 is a wasteful number, since it uses less digits than its factorization.

2546718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2546718720 is about 50465.0247200970. The cubic root of 2546718720 is about 1365.6109597113.

The spelling of 2546718720 in words is "two billion, five hundred forty-six million, seven hundred eighteen thousand, seven hundred twenty".