2971038400 has 168 divisors, whose sum is σ = 8251637040. Its totient is φ = 1042944000.

The previous prime is 2971038377. The next prime is 2971038451. The reversal of 2971038400 is 48301792.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 507490 + ... + 513310.

Almost surely, 2^2971038400 is an apocalyptic number.

2971038400 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 2971038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125818520).

2971038400 is an abundant number, since it is smaller than the sum of its proper divisors (5280598640).

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

2971038400 is a wasteful number, since it uses less digits than its factorization.

2971038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2971038400 is about 54507.2325476170. The cubic root of 2971038400 is about 1437.5934598341.

It can be divided in two parts, 297103 and 8400, that added together give a palindrome (305503).

The spelling of 2971038400 in words is "two billion, nine hundred seventy-one million, thirty-eight thousand, four hundred".