2956254840 has 512 divisors, whose sum is σ = 12939264000. Its totient is φ = 581644800.

The previous prime is 2956254839. The next prime is 2956254841. The reversal of 2956254840 is 484526592.

2956254840 is a `hidden beast` number, since 2 + 9 + 5 + 62 + 548 + 40 = 666.

2956254840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2956254839) and next prime (2956254841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956254841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1579105 + ... + 1580975.

It is an arithmetic number, because the mean of its divisors is an integer number (25272000).

Almost surely, 2^2956254840 is an apocalyptic number.

2956254840 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 2956254840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469632000).

2956254840 is an abundant number, since it is smaller than the sum of its proper divisors (9983009160).

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

2956254840 is a wasteful number, since it uses less digits than its factorization.

2956254840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2956254840 is about 54371.4524359981. The cubic root of 2956254840 is about 1435.2050583708.

The spelling of 2956254840 in words is "two billion, nine hundred fifty-six million, two hundred fifty-four thousand, eight hundred forty".