2977338 has 96 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 725760.

The previous prime is 2977313. The next prime is 2977361. The reversal of 2977338 is 8337792.

It is a super-3 number, since 3×2977338³ = 79178209373273335416, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2977296 and 2977305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72598 + ... + 72638.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2^2977338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2977338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2977338 is an abundant number, since it is smaller than the sum of its proper divisors (5066502).

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

2977338 is a wasteful number, since it uses less digits than its factorization.

2977338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 2977338 is about 1725.4964503006. The cubic root of 2977338 is about 143.8608802990.

The spelling of 2977338 in words is "two million, nine hundred seventy-seven thousand, three hundred thirty-eight".