2010492792 has 256 divisors, whose sum is σ = 7032960000. Its totient is φ = 516948480.

The previous prime is 2010492787. The next prime is 2010492797. The reversal of 2010492792 is 2972940102.

It is an interprime number because it is at equal distance from previous prime (2010492787) and next prime (2010492797).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010492797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1812334 + ... + 1813442.

It is an arithmetic number, because the mean of its divisors is an integer number (27472500).

Almost surely, 2^2010492792 is an apocalyptic number.

2010492792 is a gapful number since it is divisible by the number (22) 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 2010492792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516480000).

2010492792 is an abundant number, since it is smaller than the sum of its proper divisors (5022467208).

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

2010492792 is a wasteful number, since it uses less digits than its factorization.

2010492792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2010492792 is about 44838.5190656427. The cubic root of 2010492792 is about 1262.1205561262.

It can be divided in two parts, 201049 and 2792, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2010492792 in words is "two billion, ten million, four hundred ninety-two thousand, seven hundred ninety-two".