2732970240 has 1152 divisors, whose sum is σ = 13186252800. Its totient is φ = 517570560.

The previous prime is 2732970217. The next prime is 2732970287. The reversal of 2732970240 is 420792372.

2732970240 is a `hidden beast` number, since 27 + 329 + 70 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2732970195 and 2732970204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34594521 + ... + 34594599.

It is an arithmetic number, because the mean of its divisors is an integer number (11446400).

Almost surely, 2^2732970240 is an apocalyptic number.

2732970240 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 2732970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593126400).

2732970240 is an abundant number, since it is smaller than the sum of its proper divisors (10453282560).

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

2732970240 is a wasteful number, since it uses less digits than its factorization.

2732970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2732970240 is about 52277.8178580552. The cubic root of 2732970240 is about 1398.1216715190.

The spelling of 2732970240 in words is "two billion, seven hundred thirty-two million, nine hundred seventy thousand, two hundred forty".