1290992010 has 256 divisors, whose sum is σ = 4061933568. Its totient is φ = 254822400.

The previous prime is 1290991987. The next prime is 1290992033. The reversal of 1290992010 is 102990921.

It is an interprime number because it is at equal distance from previous prime (1290991987) and next prime (1290992033).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4072372 + ... + 4072688.

It is an arithmetic number, because the mean of its divisors is an integer number (15866928).

Almost surely, 2^1290992010 is an apocalyptic number.

1290992010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290992010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030966784).

1290992010 is an abundant number, since it is smaller than the sum of its proper divisors (2770941558).

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

1290992010 is a wasteful number, since it uses less digits than its factorization.

1290992010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 1290992010 is about 35930.3772593609. The cubic root of 1290992010 is about 1088.8662031501.

The spelling of 1290992010 in words is "one billion, two hundred ninety million, nine hundred ninety-two thousand, ten".