2758955952 has 80 divisors (see below), whose sum is σ = 7511304960. Its totient is φ = 870218496.

The previous prime is 2758955921. The next prime is 2758955989. The reversal of 2758955952 is 2595598572.

It is a happy number.

It is a super-2 number, since 2×2758955952² = 15223675890152452608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2758955892 and 2758955901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245598 + ... + 1247810.

It is an arithmetic number, because the mean of its divisors is an integer number (93891312).

Almost surely, 2^2758955952 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 2758955952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755652480).

2758955952 is an abundant number, since it is smaller than the sum of its proper divisors (4752349008).

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

2758955952 is a wasteful number, since it uses less digits than its factorization.

2758955952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3604 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 57.

The square root of 2758955952 is about 52525.7646493604. The cubic root of 2758955952 is about 1402.5389220930.

The spelling of 2758955952 in words is "two billion, seven hundred fifty-eight million, nine hundred fifty-five thousand, nine hundred fifty-two".