2752020040 has 512 divisors, whose sum is σ = 8825241600. Its totient is φ = 746496000.

The previous prime is 2752019987. The next prime is 2752020041. The reversal of 2752020040 is 400202572.

It is a super-2 number, since 2×2752020040² = 15147228601123203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2752019993 and 2752020020.

It is not an unprimeable number, because it can be changed into a prime (2752020041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67122420 + ... + 67122460.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2^2752020040 is an apocalyptic number.

2752020040 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 2752020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2752020040 is an abundant number, since it is smaller than the sum of its proper divisors (6073221560).

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

2752020040 is a wasteful number, since it uses less digits than its factorization.

2752020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2752020040 is about 52459.6991985276. The cubic root of 2752020040 is about 1401.3626257015.

The spelling of 2752020040 in words is "two billion, seven hundred fifty-two million, twenty thousand, forty".