2756376040 has 64 divisors (see below), whose sum is σ = 6783912000. Its totient is φ = 999613440.

The previous prime is 2756376023. The next prime is 2756376083. The reversal of 2756376040 is 406736572.

2756376040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2756375984 and 2756376002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158496 + ... + 175024.

It is an arithmetic number, because the mean of its divisors is an integer number (105998625).

Almost surely, 2^2756376040 is an apocalyptic number.

2756376040 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 2756376040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391956000).

2756376040 is an abundant number, since it is smaller than the sum of its proper divisors (4027535960).

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

2756376040 is a wasteful number, since it uses less digits than its factorization.

2756376040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16930 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 2756376040 is about 52501.2003672297. The cubic root of 2756376040 is about 1402.1016122901.

The spelling of 2756376040 in words is "two billion, seven hundred fifty-six million, three hundred seventy-six thousand, forty".