2752739640 has 320 divisors, whose sum is σ = 10794168000. Its totient is φ = 628943616.

The previous prime is 2752739629. The next prime is 2752739701. The reversal of 2752739640 is 469372572.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1110082 + ... + 1112558.

It is an arithmetic number, because the mean of its divisors is an integer number (33731775).

Almost surely, 2^2752739640 is an apocalyptic number.

2752739640 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 2752739640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397084000).

2752739640 is an abundant number, since it is smaller than the sum of its proper divisors (8041428360).

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

2752739640 is a wasteful number, since it uses less digits than its factorization.

2752739640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2752739640 is about 52466.5573484672. The cubic root of 2752739640 is about 1401.4847581290.

The spelling of 2752739640 in words is "two billion, seven hundred fifty-two million, seven hundred thirty-nine thousand, six hundred forty".