2962541952 has 160 divisors (see below), whose sum is σ = 8875625880. Its totient is φ = 980895744.

The previous prime is 2962541927. The next prime is 2962541993. The reversal of 2962541952 is 2591452692.

2962541952 is a `hidden beast` number, since 2 + 9 + 625 + 4 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2962541898 and 2962541907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1689108 + ... + 1690860.

Almost surely, 2^2962541952 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 2962541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437812940).

2962541952 is an abundant number, since it is smaller than the sum of its proper divisors (5913083928).

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

2962541952 is a wasteful number, since it uses less digits than its factorization.

2962541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1921 counting only the distinct ones).

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

The square root of 2962541952 is about 54429.2380251644. The cubic root of 2962541952 is about 1436.2217620855.

The spelling of 2962541952 in words is "two billion, nine hundred sixty-two million, five hundred forty-one thousand, nine hundred fifty-two".