2938890240 has 576 divisors, whose sum is σ = 12020037120. Its totient is φ = 654704640.

The previous prime is 2938890197. The next prime is 2938890263. The reversal of 2938890240 is 420988392.

2938890240 is a `hidden beast` number, since 29 + 388 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13178769 + ... + 13178991.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 2^2938890240 is an apocalyptic number.

2938890240 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 2938890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010018560).

2938890240 is an abundant number, since it is smaller than the sum of its proper divisors (9081146880).

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

2938890240 is a wasteful number, since it uses less digits than its factorization.

2938890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2938890240 is about 54211.5323524432. The cubic root of 2938890240 is about 1432.3894782379.

The spelling of 2938890240 in words is "two billion, nine hundred thirty-eight million, eight hundred ninety thousand, two hundred forty".