2927424240 has 800 divisors, whose sum is σ = 12099225600. Its totient is φ = 649451520.

The previous prime is 2927424229. The next prime is 2927424251. The reversal of 2927424240 is 424247292.

It is an interprime number because it is at equal distance from previous prime (2927424229) and next prime (2927424251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2927424195 and 2927424204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49617331 + ... + 49617389.

It is an arithmetic number, because the mean of its divisors is an integer number (15124032).

Almost surely, 2^2927424240 is an apocalyptic number.

2927424240 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 2927424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049612800).

2927424240 is an abundant number, since it is smaller than the sum of its proper divisors (9171801360).

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

2927424240 is a wasteful number, since it uses less digits than its factorization.

2927424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2927424240 is about 54105.6765968230. The cubic root of 2927424240 is about 1430.5242409313.

The spelling of 2927424240 in words is "two billion, nine hundred twenty-seven million, four hundred twenty-four thousand, two hundred forty".