2705040000 has 720 divisors, whose sum is σ = 11127586470. Its totient is φ = 626688000.

The previous prime is 2705039971. The next prime is 2705040053. The reversal of 2705040000 is 405072.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 803382336 + 1901657664 = 28344^2 + 43608^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 159119992 + ... + 159120008.

Almost surely, 2^2705040000 is an apocalyptic number.

2705040000 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 2705040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563793235).

2705040000 is an abundant number, since it is smaller than the sum of its proper divisors (8422546470).

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

2705040000 is a wasteful number, since it uses less digits than its factorization.

2705040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2705040000 is about 52009.9990386464. Note that the first 3 decimals coincide. The cubic root of 2705040000 is about 1393.3425414459.

Adding to 2705040000 its reverse (405072), we get a palindrome (2705445072).

The spelling of 2705040000 in words is "two billion, seven hundred five million, forty thousand".