2948915200 has 504 divisors, whose sum is σ = 9726783696. Its totient is φ = 865075200.

The previous prime is 2948915113. The next prime is 2948915213. The reversal of 2948915200 is 25198492.

It is a super-2 number, since 2×2948915200² = 17392201713582080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173465592 + ... + 173465608.

It is an arithmetic number, because the mean of its divisors is an integer number (19299174).

Almost surely, 2^2948915200 is an apocalyptic number.

2948915200 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 2948915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863391848).

2948915200 is an abundant number, since it is smaller than the sum of its proper divisors (6777868496).

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

2948915200 is a wasteful number, since it uses less digits than its factorization.

2948915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 2948915200 is about 54303.9151443061. The cubic root of 2948915200 is about 1434.0163225391.

The spelling of 2948915200 in words is "two billion, nine hundred forty-eight million, nine hundred fifteen thousand, two hundred".