2797963943040 has 1152 divisors, whose sum is σ = 11894570064000. Its totient is φ = 605720457216.

The previous prime is 2797963943029. The next prime is 2797963943069. The reversal of 2797963943040 is 403493697972.

2797963943040 is a `hidden beast` number, since 2 + 7 + 97 + 96 + 394 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 713218519 + ... + 713222441.

It is an arithmetic number, because the mean of its divisors is an integer number (10325147625).

Almost surely, 2^{2797963943040} is an apocalyptic number.

2797963943040 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 2797963943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947285032000).

2797963943040 is an abundant number, since it is smaller than the sum of its proper divisors (9096606120960).

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

2797963943040 is a wasteful number, since it uses less digits than its factorization.

2797963943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 2797963943040 in words is "two trillion, seven hundred ninety-seven billion, nine hundred sixty-three million, nine hundred forty-three thousand, forty".