2948140800 has 810 divisors, whose sum is σ = 12236602224. Its totient is φ = 699494400.

The previous prime is 2948140781. The next prime is 2948140817. The reversal of 2948140800 is 80418492.

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62726377 + ... + 62726423.

Almost surely, 2^2948140800 is an apocalyptic number.

2948140800 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 2948140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118301112).

2948140800 is an abundant number, since it is smaller than the sum of its proper divisors (9288461424).

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

2948140800 is a wasteful number, since it uses less digits than its factorization.

2948140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2948140800 is about 54296.7844351763. The cubic root of 2948140800 is about 1433.8907849107.

The spelling of 2948140800 in words is "two billion, nine hundred forty-eight million, one hundred forty thousand, eight hundred".