2976133468 has 96 divisors (see below), whose sum is σ = 6785856000. Its totient is φ = 1108128000.

The previous prime is 2976133451. The next prime is 2976133477. The reversal of 2976133468 is 8643316792.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900483 + ... + 903781.

It is an arithmetic number, because the mean of its divisors is an integer number (70686000).

Almost surely, 2^2976133468 is an apocalyptic number.

2976133468 is a gapful number since it is divisible by the number (28) 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 2976133468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392928000).

2976133468 is an abundant number, since it is smaller than the sum of its proper divisors (3809722532).

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

2976133468 is a wasteful number, since it uses less digits than its factorization.

2976133468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3449 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 2976133468 is about 54553.9500677999. The cubic root of 2976133468 is about 1438.4147723853.

The spelling of 2976133468 in words is "two billion, nine hundred seventy-six million, one hundred thirty-three thousand, four hundred sixty-eight".