2755952640 has 512 divisors, whose sum is σ = 11324448000. Its totient is φ = 622854144.

The previous prime is 2755952609. The next prime is 2755952681. The reversal of 2755952640 is 462595572.

2755952640 is a `hidden beast` number, since 2 + 7 + 559 + 52 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

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, 30965716 + ... + 30965804.

Almost surely, 2^2755952640 is an apocalyptic number.

2755952640 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 2755952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662224000).

2755952640 is an abundant number, since it is smaller than the sum of its proper divisors (8568495360).

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

2755952640 is an frugal number, since it uses more digits than its factorization.

2755952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2755952640 is about 52497.1679236128. The cubic root of 2755952640 is about 1402.0298175116.

The spelling of 2755952640 in words is "two billion, seven hundred fifty-five million, nine hundred fifty-two thousand, six hundred forty".