2262114540 has 240 divisors, whose sum is σ = 8537760000. Its totient is φ = 489794688.

The previous prime is 2262114529. The next prime is 2262114551. The reversal of 2262114540 is 454112622.

2262114540 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 114 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (2262114529) and next prime (2262114551).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210211 + ... + 220709.

It is an arithmetic number, because the mean of its divisors is an integer number (35574000).

Almost surely, 2^2262114540 is an apocalyptic number.

2262114540 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 2262114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268880000).

2262114540 is an abundant number, since it is smaller than the sum of its proper divisors (6275645460).

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

2262114540 is a wasteful number, since it uses less digits than its factorization.

2262114540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2262114540 is about 47561.6919379452. The cubic root of 2262114540 is about 1312.7182722702.

The spelling of 2262114540 in words is "two billion, two hundred sixty-two million, one hundred fourteen thousand, five hundred forty".