2692103641920 has 1344 divisors, whose sum is σ = 12508697051136. Its totient is φ = 514217410560.

The previous prime is 2692103641907. The next prime is 2692103641951. The reversal of 2692103641920 is 291463012962.

2692103641920 is a `hidden beast` number, since 2 + 6 + 92 + 10 + 364 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162098257 + ... + 162114863.

Almost surely, 2^{2692103641920} is an apocalyptic number.

2692103641920 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 2692103641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254348525568).

2692103641920 is an abundant number, since it is smaller than the sum of its proper divisors (9816593409216).

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

2692103641920 is a wasteful number, since it uses less digits than its factorization.

2692103641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708 (or 16695 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2692103641920 in words is "two trillion, six hundred ninety-two billion, one hundred three million, six hundred forty-one thousand, nine hundred twenty".