2653412042346 has 32 divisors (see below), whose sum is σ = 5717171866560. Its totient is φ = 816130111104.

The previous prime is 2653412042329. The next prime is 2653412042363. The reversal of 2653412042346 is 6432402143562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2653412042329) and next prime (2653412042363).

It is a junction number, because it is equal to n+sod(n) for n = 2653412042298 and 2653412042307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6130291 + ... + 6548838.

It is an arithmetic number, because the mean of its divisors is an integer number (178661620830).

Almost surely, 2^{2653412042346} is an apocalyptic number.

2653412042346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2653412042346 is an abundant number, since it is smaller than the sum of its proper divisors (3063759824214).

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

2653412042346 is a wasteful number, since it uses less digits than its factorization.

2653412042346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12681830.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 2653412042346 in words is "two trillion, six hundred fifty-three billion, four hundred twelve million, forty-two thousand, three hundred forty-six".