2970038400 has 384 divisors, whose sum is σ = 11287075200. Its totient is φ = 672399360.

The previous prime is 2970038399. The next prime is 2970038443. The reversal of 2970038400 is 48300792.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2970038400² = 17642256194949120000, which contains 22 as substring.

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, 12969486 + ... + 12969714.

It is an arithmetic number, because the mean of its divisors is an integer number (29393425).

Almost surely, 2^2970038400 is an apocalyptic number.

2970038400 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 2970038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643537600).

2970038400 is an abundant number, since it is smaller than the sum of its proper divisors (8317036800).

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

2970038400 is a wasteful number, since it uses less digits than its factorization.

2970038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2970038400 is about 54498.0586810209. The cubic root of 2970038400 is about 1437.4321520592.

The spelling of 2970038400 in words is "two billion, nine hundred seventy million, thirty-eight thousand, four hundred".