2835269640 has 192 divisors, whose sum is σ = 10551340800. Its totient is φ = 646811136.

The previous prime is 2835269627. The next prime is 2835269653. The reversal of 2835269640 is 469625382.

2835269640 is a `hidden beast` number, since 2 + 83 + 526 + 9 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2835269627) and next prime (2835269653).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2148901 + ... + 2150219.

It is an arithmetic number, because the mean of its divisors is an integer number (54954900).

Almost surely, 2^2835269640 is an apocalyptic number.

2835269640 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 2835269640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275670400).

2835269640 is an abundant number, since it is smaller than the sum of its proper divisors (7716071160).

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

2835269640 is a wasteful number, since it uses less digits than its factorization.

2835269640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2835269640 is about 53247.2500698393. The cubic root of 2835269640 is about 1415.3530631841.

The spelling of 2835269640 in words is "two billion, eight hundred thirty-five million, two hundred sixty-nine thousand, six hundred forty".