2941259664 has 120 divisors (see below), whose sum is σ = 8973860160. Its totient is φ = 813162240.

The previous prime is 2941259653. The next prime is 2941259689. The reversal of 2941259664 is 4669521492.

It is a super-2 number, since 2×2941259664² = 17302016822146785792, which contains 22 as substring.

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

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, 318342 + ... + 327450.

It is an arithmetic number, because the mean of its divisors is an integer number (74782168).

Almost surely, 2^2941259664 is an apocalyptic number.

2941259664 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 2941259664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486930080).

2941259664 is an abundant number, since it is smaller than the sum of its proper divisors (6032600496).

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

2941259664 is a wasteful number, since it uses less digits than its factorization.

2941259664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9152 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2941259664 is about 54233.3814545986. The cubic root of 2941259664 is about 1432.7743203653.

The spelling of 2941259664 in words is "two billion, nine hundred forty-one million, two hundred fifty-nine thousand, six hundred sixty-four".