2074151040 has 256 divisors, whose sum is σ = 7431540480. Its totient is φ = 488226816.

The previous prime is 2074151029. The next prime is 2074151071. The reversal of 2074151040 is 401514702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2074151040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572274 + ... + 575886.

It is an arithmetic number, because the mean of its divisors is an integer number (29029455).

Almost surely, 2^2074151040 is an apocalyptic number.

2074151040 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 2074151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715770240).

2074151040 is an abundant number, since it is smaller than the sum of its proper divisors (5357389440).

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

2074151040 is a wasteful number, since it uses less digits than its factorization.

2074151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2074151040 is about 45542.8483957690. The cubic root of 2074151040 is about 1275.3032296850.

Adding to 2074151040 its reverse (401514702), we get a palindrome (2475665742).

The spelling of 2074151040 in words is "two billion, seventy-four million, one hundred fifty-one thousand, forty".