2957010144 has 192 divisors, whose sum is σ = 8894914560. Its totient is φ = 851904000.

The previous prime is 2957010139. The next prime is 2957010151. The reversal of 2957010144 is 4410107592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1930659 + ... + 1932189.

It is an arithmetic number, because the mean of its divisors is an integer number (46327680).

Almost surely, 2^2957010144 is an apocalyptic number.

2957010144 is a gapful number since it is divisible by the number (24) 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 2957010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447457280).

2957010144 is an abundant number, since it is smaller than the sum of its proper divisors (5937904416).

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

2957010144 is a wasteful number, since it uses less digits than its factorization.

2957010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2957010144 is about 54378.3977697026. The cubic root of 2957010144 is about 1435.3272765008.

The spelling of 2957010144 in words is "two billion, nine hundred fifty-seven million, ten thousand, one hundred forty-four".