2951409564 has 72 divisors (see below), whose sum is σ = 7621325712. Its totient is φ = 962807040.

The previous prime is 2951409493. The next prime is 2951409607. The reversal of 2951409564 is 4659041592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339982 + ... + 348554.

It is an arithmetic number, because the mean of its divisors is an integer number (105851746).

Almost surely, 2^2951409564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2951409564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810662856).

2951409564 is an abundant number, since it is smaller than the sum of its proper divisors (4669916148).

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

2951409564 is a wasteful number, since it uses less digits than its factorization.

2951409564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2951409564 is about 54326.8769947252. The cubic root of 2951409564 is about 1434.4205333973.

It can be divided in two parts, 295140 and 9564, that added together give a square (304704 = 552²).

The spelling of 2951409564 in words is "two billion, nine hundred fifty-one million, four hundred nine thousand, five hundred sixty-four".