2949800 has 96 divisors (see below), whose sum is σ = 8184000. Its totient is φ = 987840.

The previous prime is 2949799. The next prime is 2949803. The reversal of 2949800 is 89492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68579 + ... + 68621.

It is an arithmetic number, because the mean of its divisors is an integer number (85250).

2^2949800 is an apocalyptic number.

2949800 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 2949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092000).

2949800 is an abundant number, since it is smaller than the sum of its proper divisors (5234200).

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

2949800 is a wasteful number, since it uses less digits than its factorization.

2949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2949800 is about 1717.4981804939. The cubic root of 2949800 is about 143.4159730163.

It can be divided in two parts, 294 and 9800, that multiplied together give a triangular number (2881200 = T₂₄₀₀).

The spelling of 2949800 in words is "two million, nine hundred forty-nine thousand, eight hundred".