2740048640 has 216 divisors, whose sum is σ = 7752074400. Its totient is φ = 927553536.

The previous prime is 2740048621. The next prime is 2740048657. The reversal of 2740048640 is 468400472.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2740048640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34684121 + ... + 34684199.

Almost surely, 2^2740048640 is an apocalyptic number.

2740048640 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 2740048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876037200).

2740048640 is an abundant number, since it is smaller than the sum of its proper divisors (5012025760).

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

2740048640 is an frugal number, since it uses more digits than its factorization.

2740048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 2740048640 is about 52345.4739208654. The cubic root of 2740048640 is about 1399.3276771817.

Multiplying 2740048640 by its sum of digits (35), we get a square (95901702400 = 309680²).

2740048640 divided by its sum of digits (35) gives a square (78287104 = 8848²).

The spelling of 2740048640 in words is "two billion, seven hundred forty million, forty-eight thousand, six hundred forty".