2957040 has 120 divisors (see below), whose sum is σ = 10468080. Its totient is φ = 767232.

The previous prime is 2957023. The next prime is 2957051. The reversal of 2957040 is 407592.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2956995 and 2957013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79902 + ... + 79938.

It is an arithmetic number, because the mean of its divisors is an integer number (87234).

2^2957040 is an apocalyptic number.

2957040 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 2957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234040).

2957040 is an abundant number, since it is smaller than the sum of its proper divisors (7511040).

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

2957040 is a wasteful number, since it uses less digits than its factorization.

2957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2957040 is about 1719.6046057161. The cubic root of 2957040 is about 143.5332107167.

The spelling of 2957040 in words is "two million, nine hundred fifty-seven thousand, forty".