2543684640 has 192 divisors, whose sum is σ = 9228764160. Its totient is φ = 576875520.

The previous prime is 2543684599. The next prime is 2543684659. The reversal of 2543684640 is 464863452.

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

It is a junction number, because it is equal to n+sod(n) for n = 2543684592 and 2543684601.

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, 437271 + ... + 443049.

It is an arithmetic number, because the mean of its divisors is an integer number (48066480).

Almost surely, 2^2543684640 is an apocalyptic number.

2543684640 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 2543684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614382080).

2543684640 is an abundant number, since it is smaller than the sum of its proper divisors (6685079520).

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

2543684640 is a wasteful number, since it uses less digits than its factorization.

2543684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 2543684640 is about 50434.9545454341. The cubic root of 2543684640 is about 1365.0684289918.

The spelling of 2543684640 in words is "two billion, five hundred forty-three million, six hundred eighty-four thousand, six hundred forty".