2938949640 has 576 divisors, whose sum is σ = 11427998400. Its totient is φ = 652354560.

The previous prime is 2938949617. The next prime is 2938949641. The reversal of 2938949640 is 469498392.

It is a super-2 number, since 2×2938949640² = 17274849972912259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2938949641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43864887 + ... + 43864953.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^2938949640 is an apocalyptic number.

2938949640 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 2938949640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713999200).

2938949640 is an abundant number, since it is smaller than the sum of its proper divisors (8489048760).

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

2938949640 is a wasteful number, since it uses less digits than its factorization.

2938949640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2938949640 is about 54212.0802035856. The cubic root of 2938949640 is about 1432.3991285203.

The spelling of 2938949640 in words is "two billion, nine hundred thirty-eight million, nine hundred forty-nine thousand, six hundred forty".