2948451840 has 400 divisors, whose sum is σ = 10783974960. Its totient is φ = 769720320.

The previous prime is 2948451833. The next prime is 2948451931. The reversal of 2948451840 is 481548492.

2948451840 is a `hidden beast` number, since 2 + 94 + 8 + 4 + 518 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12234120 + ... + 12234360.

Almost surely, 2^2948451840 is an apocalyptic number.

2948451840 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 2948451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391987480).

2948451840 is an abundant number, since it is smaller than the sum of its proper divisors (7835523120).

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

2948451840 is an equidigital number, since it uses as much as digits as its factorization.

2948451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2948451840 is about 54299.6486176476. The cubic root of 2948451840 is about 1433.9412101036.

The spelling of 2948451840 in words is "two billion, nine hundred forty-eight million, four hundred fifty-one thousand, eight hundred forty".