2658948864 has 432 divisors, whose sum is σ = 8768858112. Its totient is φ = 709632000.

The previous prime is 2658948847. The next prime is 2658948881. The reversal of 2658948864 is 4688498562.

It is an interprime number because it is at equal distance from previous prime (2658948847) and next prime (2658948881).

It is a super-2 number, since 2×2658948864² = 14140018122733780992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2658948798 and 2658948807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37449949 + ... + 37450019.

Almost surely, 2^2658948864 is an apocalyptic number.

2658948864 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 2658948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384429056).

2658948864 is an abundant number, since it is smaller than the sum of its proper divisors (6109909248).

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

2658948864 is a wasteful number, since it uses less digits than its factorization.

2658948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 60.

The square root of 2658948864 is about 51564.9964995635. The cubic root of 2658948864 is about 1385.3834496334.

The spelling of 2658948864 in words is "two billion, six hundred fifty-eight million, nine hundred forty-eight thousand, eight hundred sixty-four".