2214653376 has 448 divisors, whose sum is σ = 7312273920. Its totient is φ = 583925760.

The previous prime is 2214653351. The next prime is 2214653387. The reversal of 2214653376 is 6733564122.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (181440) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

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, 33054495 + ... + 33054561.

It is an arithmetic number, because the mean of its divisors is an integer number (16322040).

Almost surely, 2^2214653376 is an apocalyptic number.

2214653376 is a gapful number since it is divisible by the number (26) 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 2214653376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656136960).

2214653376 is an abundant number, since it is smaller than the sum of its proper divisors (5097620544).

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

2214653376 is a wasteful number, since it uses less digits than its factorization.

2214653376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 2214653376 is about 47060.1038672887. The cubic root of 2214653376 is about 1303.4726435964.

The spelling of 2214653376 in words is "two billion, two hundred fourteen million, six hundred fifty-three thousand, three hundred seventy-six".