2469137679801 has 81 divisors (see below), whose sum is σ = 3958111092429. Its totient is φ = 1482548925312.

The previous prime is 2469137679791. The next prime is 2469137679803. The reversal of 2469137679801 is 1089767319642.

The square root of 2469137679801 is 1571349.

It is a perfect power (a square), and thus also a powerful number.

2469137679801 is a `hidden beast` number, since 2 + 469 + 1 + 37 + 67 + 9 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1620786156201 + 848351523600 = 1273101^2 + 921060^2 .

It is not a de Polignac number, because 2469137679801 - 2¹⁷ = 2469137548729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2469137679803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2635151805 + ... + 2635152741.

Almost surely, 2^{2469137679801} is an apocalyptic number.

2469137679801 is the 1571349-th square number.

2469137679801 is the 785675-th centered octagonal number.

It is an amenable number.

2469137679801 is a deficient number, since it is larger than the sum of its proper divisors (1488973412628).

2469137679801 is an frugal number, since it uses more digits than its factorization.

2469137679801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 2469137679801 in words is "two trillion, four hundred sixty-nine billion, one hundred thirty-seven million, six hundred seventy-nine thousand, eight hundred one".