2938982400 has 312 divisors, whose sum is σ = 10806877760. Its totient is φ = 782991360.

The previous prime is 2938982359. The next prime is 2938982407. The reversal of 2938982400 is 42898392.

2938982400 is a `hidden beast` number, since 2 + 93 + 89 + 82 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938982407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764269 + ... + 2765331.

Almost surely, 2^2938982400 is an apocalyptic number.

2938982400 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 2938982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403438880).

2938982400 is an abundant number, since it is smaller than the sum of its proper divisors (7867895360).

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

2938982400 is a wasteful number, since it uses less digits than its factorization.

2938982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1073 counting only the distinct ones).

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

The square root of 2938982400 is about 54212.3823494227. The cubic root of 2938982400 is about 1432.4044507416.

The spelling of 2938982400 in words is "two billion, nine hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".