2953048560 has 480 divisors, whose sum is σ = 11715916800. Its totient is φ = 602173440.

The previous prime is 2953048559. The next prime is 2953048583. The reversal of 2953048560 is 658403592.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14839341 + ... + 14839539.

It is an arithmetic number, because the mean of its divisors is an integer number (24408160).

Almost surely, 2^2953048560 is an apocalyptic number.

2953048560 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 2953048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857958400).

2953048560 is an abundant number, since it is smaller than the sum of its proper divisors (8762868240).

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

2953048560 is a wasteful number, since it uses less digits than its factorization.

2953048560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2953048560 is about 54341.9594788410. The cubic root of 2953048560 is about 1434.6860081823.

The spelling of 2953048560 in words is "two billion, nine hundred fifty-three million, forty-eight thousand, five hundred sixty".