2795143680 has 640 divisors, whose sum is σ = 11667110400. Its totient is φ = 621084672.

The previous prime is 2795143657. The next prime is 2795143693. The reversal of 2795143680 is 863415972.

2795143680 is a `hidden beast` number, since 2 + 79 + 514 + 3 + 68 + 0 = 666.

2795143680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

2795143680 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25643466 + ... + 25643574.

It is an arithmetic number, because the mean of its divisors is an integer number (18229860).

It is a 1-persistent number, because it is pandigital, but 2⋅2795143680 = 5590287360 is not.

Almost surely, 2^2795143680 is an apocalyptic number.

2795143680 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 2795143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833555200).

2795143680 is an abundant number, since it is smaller than the sum of its proper divisors (8871966720).

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

2795143680 is a wasteful number, since it uses less digits than its factorization.

2795143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2795143680 is about 52869.1183962812. The cubic root of 2795143680 is about 1408.6444192019.

It can be divided in two parts, 27951 and 43680, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 2795143680 in words is "two billion, seven hundred ninety-five million, one hundred forty-three thousand, six hundred eighty".