2954652480 has 336 divisors, whose sum is σ = 11158514640. Its totient is φ = 713097216.

The previous prime is 2954652457. The next prime is 2954652499. The reversal of 2954652480 is 842564592.

2954652480 is a `hidden beast` number, since 2 + 9 + 5 + 46 + 524 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 264777984 + 2689874496 = 16272^2 + 51864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1983576 + ... + 1985064.

It is an arithmetic number, because the mean of its divisors is an integer number (33209865).

Almost surely, 2^2954652480 is an apocalyptic number.

2954652480 is a gapful number since it is divisible by the number (20) 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 2954652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579257320).

2954652480 is an abundant number, since it is smaller than the sum of its proper divisors (8203862160).

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

2954652480 is a wasteful number, since it uses less digits than its factorization.

2954652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2954652480 is about 54356.7151325391. The cubic root of 2954652480 is about 1434.9457064850.

It can be divided in two parts, 295 and 4652480, that added together give a triangular number (4652775 = T₃₀₅₀).

The spelling of 2954652480 in words is "two billion, nine hundred fifty-four million, six hundred fifty-two thousand, four hundred eighty".