2956386144 has 96 divisors (see below), whose sum is σ = 8112061440. Its totient is φ = 940972032.

The previous prime is 2956386143. The next prime is 2956386203. The reversal of 2956386144 is 4416836592.

2956386144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2956386093 and 2956386102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956386143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227209 + ... + 2228535.

It is an arithmetic number, because the mean of its divisors is an integer number (84500640).

Almost surely, 2^2956386144 is an apocalyptic number.

2956386144 is a gapful number since it is divisible by the number (24) 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 2956386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056030720).

2956386144 is an abundant number, since it is smaller than the sum of its proper divisors (5155675296).

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

2956386144 is a wasteful number, since it uses less digits than its factorization.

2956386144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 2956386144 is about 54372.6598944727. The cubic root of 2956386144 is about 1435.2263065812.

The spelling of 2956386144 in words is "two billion, nine hundred fifty-six million, three hundred eighty-six thousand, one hundred forty-four".