2661952800 has 216 divisors, whose sum is σ = 9383868144. Its totient is φ = 655150080.

The previous prime is 2661952793. The next prime is 2661952807. The reversal of 2661952800 is 82591662.

It is an interprime number because it is at equal distance from previous prime (2661952793) and next prime (2661952807).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2661952807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402319 + ... + 408881.

It is an arithmetic number, because the mean of its divisors is an integer number (43443834).

Almost surely, 2^2661952800 is an apocalyptic number.

2661952800 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 2661952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691934072).

2661952800 is an abundant number, since it is smaller than the sum of its proper divisors (6721915344).

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

2661952800 is a wasteful number, since it uses less digits than its factorization.

2661952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2661952800 is about 51594.1159435841. The cubic root of 2661952800 is about 1385.9049636137.

The spelling of 2661952800 in words is "two billion, six hundred sixty-one million, nine hundred fifty-two thousand, eight hundred".