2974209840 has 1200 divisors, whose sum is σ = 13854693600. Its totient is φ = 585252864.

The previous prime is 2974209803. The next prime is 2974209841. The reversal of 2974209840 is 489024792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2974209841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 102558946 + ... + 102558974.

It is an arithmetic number, because the mean of its divisors is an integer number (11545578).

Almost surely, 2^2974209840 is an apocalyptic number.

2974209840 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 2974209840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927346800).

2974209840 is an abundant number, since it is smaller than the sum of its proper divisors (10880483760).

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

2974209840 is a wasteful number, since it uses less digits than its factorization.

2974209840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2974209840 is about 54536.3167073098. The cubic root of 2974209840 is about 1438.1047984631.

The spelling of 2974209840 in words is "two billion, nine hundred seventy-four million, two hundred nine thousand, eight hundred forty".