2029250496 has 448 divisors, whose sum is σ = 7039628288. Its totient is φ = 501645312.

The previous prime is 2029250473. The next prime is 2029250501. The reversal of 2029250496 is 6940529202.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27797916 + ... + 27797988.

It is an arithmetic number, because the mean of its divisors is an integer number (15713456).

Almost surely, 2^2029250496 is an apocalyptic number.

2029250496 is a gapful number since it is divisible by the number (26) 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 2029250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519814144).

2029250496 is an abundant number, since it is smaller than the sum of its proper divisors (5010377792).

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

2029250496 is a wasteful number, since it uses less digits than its factorization.

2029250496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2029250496 is about 45047.2029764335. The cubic root of 2029250496 is about 1266.0335662906.

Adding to 2029250496 its reverse (6940529202), we get a palindrome (8969779698).

The spelling of 2029250496 in words is "two billion, twenty-nine million, two hundred fifty thousand, four hundred ninety-six".