2262551616 has 504 divisors, whose sum is σ = 7890564864. Its totient is φ = 638254080.

The previous prime is 2262551593. The next prime is 2262551657. The reversal of 2262551616 is 6161552622.

2262551616 is a `hidden beast` number, since 2 + 2 + 625 + 5 + 16 + 16 = 666.

It is a super-2 number, since 2×2262551616² = 10238279630128422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72985521 + ... + 72985551.

Almost surely, 2^2262551616 is an apocalyptic number.

2262551616 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 2262551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945282432).

2262551616 is an abundant number, since it is smaller than the sum of its proper divisors (5628013248).

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

2262551616 is a wasteful number, since it uses less digits than its factorization.

2262551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2262551616 is about 47566.2865483527. The cubic root of 2262551616 is about 1312.8028127436.

It can be divided in two parts, 2262 and 551616, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 2262551616 in words is "two billion, two hundred sixty-two million, five hundred fifty-one thousand, six hundred sixteen".