2512277040 has 240 divisors, whose sum is σ = 9757063008. Its totient is φ = 530030592.

The previous prime is 2512277003. The next prime is 2512277077. The reversal of 2512277040 is 407722152.

2512277040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2512277003) and next prime (2512277077).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2512277040² = 12623071851422323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2512276989 and 2512277007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144664 + ... + 161096.

Almost surely, 2^2512277040 is an apocalyptic number.

2512277040 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 2512277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878531504).

2512277040 is an abundant number, since it is smaller than the sum of its proper divisors (7244785968).

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

2512277040 is a wasteful number, since it uses less digits than its factorization.

2512277040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16476 (or 16463 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 2512277040 is about 50122.6200432499. The cubic root of 2512277040 is about 1359.4268490304.

Adding to 2512277040 its reverse (407722152), we get a palindrome (2919999192).

The spelling of 2512277040 in words is "two billion, five hundred twelve million, two hundred seventy-seven thousand, forty".