2692001000 has 192 divisors, whose sum is σ = 7230066480. Its totient is φ = 934502400.

The previous prime is 2692000933. The next prime is 2692001047. The reversal of 2692001000 is 1002962.

It can be written as a sum of positive squares in 24 ways, for example, as 2192299684 + 499701316 = 46822^2 + 22354^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2872532 + ... + 2873468.

Almost surely, 2^2692001000 is an apocalyptic number.

2692001000 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 2692001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615033240).

2692001000 is an abundant number, since it is smaller than the sum of its proper divisors (4538065480).

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

2692001000 is a wasteful number, since it uses less digits than its factorization.

2692001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2692001000 is about 51884.4967210823. The cubic root of 2692001000 is about 1391.1001762075.

Adding to 2692001000 its reverse (1002962), we get a palindrome (2693003962).

The spelling of 2692001000 in words is "two billion, six hundred ninety-two million, one thousand".