2974575240 has 768 divisors, whose sum is σ = 12831436800. Its totient is φ = 580608000.

The previous prime is 2974575239. The next prime is 2974575259. The reversal of 2974575240 is 425754792.

2974575240 is a `hidden beast` number, since 2 + 9 + 74 + 57 + 524 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 29451190 + ... + 29451290.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^2974575240 is an apocalyptic number.

2974575240 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 2974575240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

2974575240 is an abundant number, since it is smaller than the sum of its proper divisors (9856861560).

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

2974575240 is a wasteful number, since it uses less digits than its factorization.

2974575240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2974575240 is about 54539.6666656480. Note that the first 5 decimals coincide. The cubic root of 2974575240 is about 1438.1636893959.

The spelling of 2974575240 in words is "two billion, nine hundred seventy-four million, five hundred seventy-five thousand, two hundred forty".