2734717440 has 720 divisors, whose sum is σ = 11268484128. Its totient is φ = 563576832.

The previous prime is 2734717423. The next prime is 2734717451. The reversal of 2734717440 is 447174372.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63598059 + ... + 63598101.

Almost surely, 2^2734717440 is an apocalyptic number.

2734717440 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 2734717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634242064).

2734717440 is an abundant number, since it is smaller than the sum of its proper divisors (8533766688).

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

2734717440 is a wasteful number, since it uses less digits than its factorization.

2734717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 2734717440 is about 52294.5259085499. The cubic root of 2734717440 is about 1398.4195498456.

The spelling of 2734717440 in words is "two billion, seven hundred thirty-four million, seven hundred seventeen thousand, four hundred forty".