2944982040 has 256 divisors, whose sum is σ = 11862789120. Its totient is φ = 564848640.

The previous prime is 2944982023. The next prime is 2944982057. The reversal of 2944982040 is 402894492.

It is an interprime number because it is at equal distance from previous prime (2944982023) and next prime (2944982057).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2944981983 and 2944982001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107862 + ... + 132378.

It is an arithmetic number, because the mean of its divisors is an integer number (46339020).

Almost surely, 2^2944982040 is an apocalyptic number.

2944982040 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 2944982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931394560).

2944982040 is an abundant number, since it is smaller than the sum of its proper divisors (8917807080).

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

2944982040 is a wasteful number, since it uses less digits than its factorization.

2944982040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24562 (or 24558 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2944982040 is about 54267.6887291139. The cubic root of 2944982040 is about 1433.3784919370.

The spelling of 2944982040 in words is "two billion, nine hundred forty-four million, nine hundred eighty-two thousand, forty".