2412571440 has 80 divisors (see below), whose sum is σ = 7500421728. Its totient is φ = 641507328.

The previous prime is 2412571433. The next prime is 2412571463. The reversal of 2412571440 is 441752142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2412571398 and 2412571407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70482 + ... + 98958.

Almost surely, 2^2412571440 is an apocalyptic number.

2412571440 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 2412571440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750210864).

2412571440 is an abundant number, since it is smaller than the sum of its proper divisors (5087850288).

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

2412571440 is a wasteful number, since it uses less digits than its factorization.

2412571440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28846 (or 28840 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2412571440 is about 49117.9339956395. The cubic root of 2412571440 is about 1341.1995347816.

The spelling of 2412571440 in words is "two billion, four hundred twelve million, five hundred seventy-one thousand, four hundred forty".