2952714240 has 576 divisors, whose sum is σ = 12265344000. Its totient is φ = 642318336.

The previous prime is 2952714227. The next prime is 2952714253. The reversal of 2952714240 is 424172592.

It is an interprime number because it is at equal distance from previous prime (2952714227) and next prime (2952714253).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2952714195 and 2952714204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14837661 + ... + 14837859.

It is an arithmetic number, because the mean of its divisors is an integer number (21294000).

Almost surely, 2^2952714240 is an apocalyptic number.

2952714240 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 2952714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

2952714240 is an abundant number, since it is smaller than the sum of its proper divisors (9312629760).

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

2952714240 is a wasteful number, since it uses less digits than its factorization.

2952714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2952714240 is about 54338.8833157252. The cubic root of 2952714240 is about 1434.6318650013.

The spelling of 2952714240 in words is "two billion, nine hundred fifty-two million, seven hundred fourteen thousand, two hundred forty".