2032400881 has 60 divisors (see below), whose sum is σ = 2631315420. Its totient is φ = 1567372800.

The previous prime is 2032400879. The next prime is 2032400893. The reversal of 2032400881 is 1880042302.

It can be written as a sum of positive squares in 6 ways, for example, as 649230400 + 1383170481 = 25480^2 + 37191^2 .

It is not a de Polignac number, because 2032400881 - 2¹ = 2032400879 is a prime.

It is a super-2 number, since 2×2032400881² = 8261306682179152322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032400801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20122731 + ... + 20122831.

It is an arithmetic number, because the mean of its divisors is an integer number (43855257).

Almost surely, 2^2032400881 is an apocalyptic number.

It is an amenable number.

2032400881 is a deficient number, since it is larger than the sum of its proper divisors (598914539).

2032400881 is an equidigital number, since it uses as much as digits as its factorization.

2032400881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2032400881 is about 45082.1570136124. The cubic root of 2032400881 is about 1266.6883944180.

The spelling of 2032400881 in words is "two billion, thirty-two million, four hundred thousand, eight hundred eighty-one".