2700642560 has 432 divisors, whose sum is σ = 8455684608. Its totient is φ = 808304640.

The previous prime is 2700642541. The next prime is 2700642587. The reversal of 2700642560 is 652460072.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50955494 + ... + 50955546.

It is an arithmetic number, because the mean of its divisors is an integer number (19573344).

Almost surely, 2^2700642560 is an apocalyptic number.

2700642560 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 2700642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227842304).

2700642560 is an abundant number, since it is smaller than the sum of its proper divisors (5755042048).

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

2700642560 is a wasteful number, since it uses less digits than its factorization.

2700642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2700642560 is about 51967.7068957252. The cubic root of 2700642560 is about 1392.5871042600.

The spelling of 2700642560 in words is "two billion, seven hundred million, six hundred forty-two thousand, five hundred sixty".