2198978510976 has 576 divisors, whose sum is σ = 7387132236120. Its totient is φ = 623616786432.

The previous prime is 2198978510951. The next prime is 2198978510983. The reversal of 2198978510976 is 6790158798912.

It is a happy number.

2198978510976 is a `hidden beast` number, since 2 + 19 + 8 + 9 + 7 + 8 + 510 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1612798401600 + 586180109376 = 1269960^2 + 765624^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200028936 + ... + 200039928.

Almost surely, 2^{2198978510976} is an apocalyptic number.

2198978510976 is a gapful number since it is divisible by the number (26) 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 2198978510976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693566118060).

2198978510976 is an abundant number, since it is smaller than the sum of its proper divisors (5188153725144).

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

2198978510976 is a wasteful number, since it uses less digits than its factorization.

2198978510976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 2198978510976 in words is "two trillion, one hundred ninety-eight billion, nine hundred seventy-eight million, five hundred ten thousand, nine hundred seventy-six".