2761556006401 has 8 divisors (see below), whose sum is σ = 2872102475264. Its totient is φ = 2653115184720.

The previous prime is 2761556006399. The next prime is 2761556006431. The reversal of 2761556006401 is 1046006551672.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2761556006401 - 2¹ = 2761556006399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2761556006431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526409121 + ... + 526414366.

It is an arithmetic number, because the mean of its divisors is an integer number (359012809408).

Almost surely, 2^{2761556006401} is an apocalyptic number.

It is an amenable number.

2761556006401 is a deficient number, since it is larger than the sum of its proper divisors (110546468863).

2761556006401 is a wasteful number, since it uses less digits than its factorization.

2761556006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052823591.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 2761556006401 in words is "two trillion, seven hundred sixty-one billion, five hundred fifty-six million, six thousand, four hundred one".