2953252800 has 252 divisors, whose sum is σ = 10656703096. Its totient is φ = 775526400.

The previous prime is 2953252781. The next prime is 2953252811. The reversal of 2953252800 is 82523592.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 963270 + ... + 966330.

Almost surely, 2^2953252800 is an apocalyptic number.

2953252800 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 2953252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328351548).

2953252800 is an abundant number, since it is smaller than the sum of its proper divisors (7703450296).

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

2953252800 is a wasteful number, since it uses less digits than its factorization.

2953252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2953252800 is about 54343.8386572020. The cubic root of 2953252800 is about 1434.7190828743.

The spelling of 2953252800 in words is "two billion, nine hundred fifty-three million, two hundred fifty-two thousand, eight hundred".