2949376000 has 192 divisors, whose sum is σ = 7566184080. Its totient is φ = 1146880000.

The previous prime is 2949375983. The next prime is 2949376021. The reversal of 2949376000 is 6739492.

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 2948924416 = 672^2 + 54304^2 .

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 15 ways as a sum of consecutive naturals, for example, 10495860 + ... + 10496140.

Almost surely, 2^2949376000 is an apocalyptic number.

2949376000 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 2949376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783092040).

2949376000 is an abundant number, since it is smaller than the sum of its proper divisors (4616808080).

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

2949376000 is an equidigital number, since it uses as much as digits as its factorization.

2949376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 2949376000 is about 54308.1577665824. The cubic root of 2949376000 is about 1434.0910121861.

The spelling of 2949376000 in words is "two billion, nine hundred forty-nine million, three hundred seventy-six thousand".