2692204542720 has 1728 divisors, whose sum is σ = 12155911971840. Its totient is φ = 558816952320.

The previous prime is 2692204542701. The next prime is 2692204542737. The reversal of 2692204542720 is 272454022962.

2692204542720 is a `hidden beast` number, since 2 + 69 + 2 + 20 + 4 + 542 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 2897959216 + ... + 2897960144.

It is an arithmetic number, because the mean of its divisors is an integer number (7034671280).

Almost surely, 2^{2692204542720} is an apocalyptic number.

2692204542720 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 2692204542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077955985920).

2692204542720 is an abundant number, since it is smaller than the sum of its proper divisors (9463707429120).

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

2692204542720 is an frugal number, since it uses more digits than its factorization.

2692204542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2692204542720 in words is "two trillion, six hundred ninety-two billion, two hundred four million, five hundred forty-two thousand, seven hundred twenty".