2049382253820 has 768 divisors, whose sum is σ = 6783080693760. Its totient is φ = 461418496000.

The previous prime is 2049382253801. The next prime is 2049382253839. The reversal of 2049382253820 is 283522839402.

It is an interprime number because it is at equal distance from previous prime (2049382253801) and next prime (2049382253839).

It is a self number, because there is not a number n which added to its sum of digits gives 2049382253820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10729749925 + ... + 10729750115.

It is an arithmetic number, because the mean of its divisors is an integer number (8832136320).

Almost surely, 2^{2049382253820} is an apocalyptic number.

2049382253820 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 2049382253820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391540346880).

2049382253820 is an abundant number, since it is smaller than the sum of its proper divisors (4733698439940).

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

2049382253820 is a wasteful number, since it uses less digits than its factorization.

2049382253820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 2049382253820 in words is "two trillion, forty-nine billion, three hundred eighty-two million, two hundred fifty-three thousand, eight hundred twenty".