2264867932140 has 864 divisors, whose sum is σ = 8164677201408. Its totient is φ = 503752704000.

The previous prime is 2264867932139. The next prime is 2264867932169. The reversal of 2264867932140 is 412397684622.

It is a happy number.

2264867932140 is a `hidden beast` number, since 2 + 26 + 486 + 79 + 32 + 1 + 40 = 666.

It is a super-2 number, since 2×2264867932140² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4347155080 + ... + 4347155600.

It is an arithmetic number, because the mean of its divisors is an integer number (9449857872).

Almost surely, 2^{2264867932140} is an apocalyptic number.

2264867932140 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 2264867932140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082338600704).

2264867932140 is an abundant number, since it is smaller than the sum of its proper divisors (5899809269268).

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

2264867932140 is a wasteful number, since it uses less digits than its factorization.

2264867932140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2264867932140 in words is "two trillion, two hundred sixty-four billion, eight hundred sixty-seven million, nine hundred thirty-two thousand, one hundred forty".