2053352411040 has 384 divisors, whose sum is σ = 7424279009280. Its totient is φ = 467297538048.

The previous prime is 2053352411017. The next prime is 2053352411063. The reversal of 2053352411040 is 401142533502.

It is an interprime number because it is at equal distance from previous prime (2053352411017) and next prime (2053352411063).

It is a super-2 number, since 2×2053352411040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2053352410989 and 2053352411007.

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, 985765839 + ... + 985767921.

It is an arithmetic number, because the mean of its divisors is an integer number (19334059920).

Almost surely, 2^{2053352411040} is an apocalyptic number.

2053352411040 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 2053352411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712139504640).

2053352411040 is an abundant number, since it is smaller than the sum of its proper divisors (5370926598240).

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

2053352411040 is a wasteful number, since it uses less digits than its factorization.

2053352411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2053352411040 its reverse (401142533502), we get a palindrome (2454494944542).

The spelling of 2053352411040 in words is "two trillion, fifty-three billion, three hundred fifty-two million, four hundred eleven thousand, forty".