2535379392 has 336 divisors, whose sum is σ = 8587654656. Its totient is φ = 642816000.

The previous prime is 2535379387. The next prime is 2535379409. The reversal of 2535379392 is 2939735352.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2535379392² = 12856297322756579328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16790517 + ... + 16790667.

It is an arithmetic number, because the mean of its divisors is an integer number (25558496).

Almost surely, 2^2535379392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535379392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293827328).

2535379392 is an abundant number, since it is smaller than the sum of its proper divisors (6052275264).

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

2535379392 is a wasteful number, since it uses less digits than its factorization.

2535379392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 207 counting only the distinct ones).

The product of its digits is 1530900, while the sum is 48.

The square root of 2535379392 is about 50352.5509979385. The cubic root of 2535379392 is about 1363.5811386055.

The spelling of 2535379392 in words is "two billion, five hundred thirty-five million, three hundred seventy-nine thousand, three hundred ninety-two".