2549198617641 has 27 divisors (see below), whose sum is σ = 3987305490519. Its totient is φ = 1568699291952.

The previous prime is 2549198617621. The next prime is 2549198617699. The reversal of 2549198617641 is 1467168919452.

The square root of 2549198617641 is 1596621.

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

2549198617641 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 1 + 9 + 8 + 617 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 377100387225 + 2172098230416 = 614085^2 + 1473804^2 .

It is not a de Polignac number, because 2549198617641 - 2¹⁵ = 2549198584873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2549198617621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62247750 + ... + 62288688.

Almost surely, 2^{2549198617641} is an apocalyptic number.

2549198617641 is the 1596621-st square number.

2549198617641 is the 798311-st centered octagonal number.

It is an amenable number.

2549198617641 is a deficient number, since it is larger than the sum of its proper divisors (1438106872878).

2549198617641 is an frugal number, since it uses more digits than its factorization.

2549198617641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81910 (or 40955 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 2549198617641 in words is "two trillion, five hundred forty-nine billion, one hundred ninety-eight million, six hundred seventeen thousand, six hundred forty-one".