2940756840 has 224 divisors, whose sum is σ = 11338519680. Its totient is φ = 672126336.

The previous prime is 2940756829. The next prime is 2940756851. The reversal of 2940756840 is 486570492.

It is a happy number.

2940756840 is a `hidden beast` number, since 2 + 9 + 40 + 7 + 568 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2940756829) and next prime (2940756851).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 196917 + ... + 211323.

Almost surely, 2^2940756840 is an apocalyptic number.

2940756840 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 2940756840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669259840).

2940756840 is an abundant number, since it is smaller than the sum of its proper divisors (8397762840).

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

2940756840 is a wasteful number, since it uses less digits than its factorization.

2940756840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14443 (or 14424 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2940756840 is about 54228.7455137955. The cubic root of 2940756840 is about 1432.6926689126.

The spelling of 2940756840 in words is "two billion, nine hundred forty million, seven hundred fifty-six thousand, eight hundred forty".